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Math Problems
Grade 8
Multi-step word problems
Over spring break, Shane works as a lifeguard at his community pool. He works
16
16
16
.
25
25
25
hours every week of his
2
2
2
-week break. He puts
2
5
\frac{2}{5}
5
2
of his earnings toward a new computer. If he makes
$
13
\$ 13
$13
per hour, how much money does he save for his computer?
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Colleen is selling tubs of popcorn to raise money for the school choir. Her goal is to raise
$
150
\$ 150
$150
. Colleen starts with
40
40
40
tubs of popcorn, and she has already sold
3
4
\frac{3}{4}
4
3
of them. If each tub of popcorn sells for
$
3.75
\$ 3.75
$3.75
, how much more money does Colleen need to raise to reach her goal?
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Sathish is going on a
2100
2100
2100
-kilometer road trip with
2
2
2
friends, whom he will pick up
150
150
150
kilometers after he begins the trip and drop off when there are
150
150
150
kilometers remaining. The car consumes
6
6
6
liters of gas for every
100
100
100
kilometers, and gas costs
$
1.20
\$ 1.20
$1.20
per liter.
\newline
Sathish will pay for all of the gas when he is alone in the car, but he and his friends will split the cost evenly when they are together.
\newline
How much will Sathish pay for gas?
\newline
$
\$
$
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Jessica and her friend went to the local high school football game. The price of admission was
$
4.50
\$4.50
$4.50
. They each bought a bottle of water for
$
1.25
\$1.25
$1.25
and a pickle. Together they spent a total of
$
13.50
\$13.50
$13.50
. a. Find the cost of each pickle. b. Jessica had
$
10
\$10
$10
to spend at the game. How much should she have left after buying her ticket, the water, and a pickle?
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Sasha had
$
500.00
\$500.00
$500.00
. She purchased four shirts that cost a total of
$
134.00
\$134.00
$134.00
. a. If each shirt cost the same amount, what is the cost of one shirt? Show your work. b. The next day, Sasha returned one of the shirts. After she returned it, how much of the
$
500
\$500
$500
did she have left? Show your work.
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William is making pies with the fresh peaches he picked at Butterscotch Orchard. He prepares the peaches by chopping them into small pieces. William has a total of
1
7
8
1\frac{7}{8}
1
8
7
pounds of peaches for his pies. He makes
3
3
3
pies, each with the same amount of peaches. How many pounds of peaches are in each pie? Use the model to help answer the question. Write your answer as a whole number, proper fraction, or mixed number.
\newline
____ pounds
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Lila is making oatmeal cookies for the Charlestown Community Bake Sale. Lila sets aside
1
7
8
1\frac{7}{8}
1
8
7
pounds of the cookie dough to remain plain, and then she adds raisins and walnuts to the rest of the dough. Lila makes
15
15
15
equal-sized cookies with the plain cookie dough. How much plain cookie dough does she use for each cookie? Use the model to help answer the question. Write your answer as a whole number, proper fraction, or mixed number.
\newline
____ pounds
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Harbor School's Spring Sprinter is tomorrow, and Ben will be setting up water stations along the race course. The race will be broken into
6
6
6
sprints that are all the same length, and he plans to set up a water station at the end of each sprint. The race will be a total of
2
2
5
2\frac{2}{5}
2
5
2
miles long. How long will each sprint be? Use the model to help answer the question. Write your answer as a whole number, proper fraction, or mixed number.
\newline
____ miles
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Danny is making raspberry turnovers with fresh berries from his garden. He picks
2
1
3
2\frac{1}{3}
2
3
1
pints of raspberries and makes
7
7
7
identical turnovers. How many pints of raspberries are in each turnover? Use the model to help answer the question. Write your answer as a whole number, proper fraction, or mixed number.
\newline
____ pints
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Yuki works at an aquarium. To clean a tank, she calculates
7
900
\frac{7}{900}
900
7
of the tank's total volume, and she adds that much cleaning solution to the tank. For a certain tank, this works out to be
2
1
3
2\frac{1}{3}
2
3
1
of cleaning solution.
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Renata moved to her new home a few years ago. Back then, the young oak tree in her back yard was
190
190
190
centimeters tall. She measured it once a year and found that it grew at a constant rate.
3
3
3
years after she moved into the house, the tree was
274
274
274
centimeters tall. How fast did the tree grow? Answer in centimeters per year. How many years passed from the time Renata moved in until the tree was
344
344
344
centimeters tall?
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Zhang Lei spent
$
20.00
\$ 20.00
$20.00
during his last outing at the bowling alley. This included a one time shoe rental fee of
$
3.50
\$ 3.50
$3.50
. He spent the rest of the money on bowling a number of games. If it took Zhang Lei
45
45
45
minutes to bowl each game and he spent
2
2
2
hours and
15
15
15
minutes bowling, how much did it cost per game?
\newline
Choose
1
1
1
answer:
\newline
(A)
$
3.00
\$ 3.00
$3.00
\newline
(B)
$
5.50
\$ 5.50
$5.50
\newline
(C)
$
6.67
\$ 6.67
$6.67
\newline
(D)
$
7.34
\$ 7.34
$7.34
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Lucy brought
4
4
4
of her scarves to a secondhand store to sell. She was paid the same amount of cash for each scarf. Before she left, Lucy spent
$
10.50
\$ 10.50
$10.50
of her earnings on a used sweater. She had
$
7.50
\$ 7.50
$7.50
remaining. What was the value of each scarf?
\newline
$
\$
$
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Lucia and Maria are business women who decided to invest money by buying farm land in Brazil. Lucia bought
x
x
x
hectares of land in the first month, and each month afterwards she buys
y
y
y
additional hectares. Maria bought
a
a
a
hectares of land in the first month, and each month afterward her total number of hectares increases by a factor of
b
b
b
. They started their investments at the same time, and they both buy the additional land at the beginning of each month. What is the first month in which Maria's amount of land exceeds Lucia's amount of land?
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Bernie helped design a magician costume for a school play. He used
5.75
5.75
5.75
feet of ribbon for the magician's wand. He used
11.75
11.75
11.75
feet of the same ribbon to decorate the magician's robe. If Bernie used
$
10.50
\$10.50
$10.50
of ribbon in all, how much did the ribbon cost per foot?
\newline
$
\$
$
____
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An employment agency specializing in temporary construction help pays heavy equipment operators
$
133
\$ 133
$133
per day and general laborers
$
88
\$ 88
$88
per day. If thirty-four people were hired and the payroll was
$
3847
\$ 3847
$3847
, how many heavy equipment operators were employed? How many laborers?
\newline
The number of heavy equipment operators hired was
□
\square
□
\newline
The number of general laborers hired was
□
\square
□
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Meg and Gabby work at different car washes. Meg worked for
4
4
4
hours and earned
$
31
\$31
$31
. Gabby worked for
5
5
5
hours and earned
$
37.50
\$37.50
$37.50
. Who makes more money per hour?
\newline
Choices:
\newline
(A) Meg
\newline
(B) Gabby
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The house Trevor's family lives in has
6
6
6
people (including Trevor) and
3
3
3
bathrooms. In the past month, each person showered for an average of
480
480
480
minutes and used an average
72
72
72
liters of shower water (over the entire month). Water costs
0
0
0
.
20
20
20
dollars per liter.
\newline
How much did Trevor's family pay per minute on shower water?
\newline
__________dollars per minute
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The house Trevor's family lives in has
6
6
6
people (including Trevor) and
3
3
3
bathrooms. In the past month, each person showered for an average of
480
480
480
minutes and used an average
72
72
72
liters of shower water (over the entire month). Water costs
0
0
0
.
20
20
20
dollars per liter.
\newline
How much money did Trevor's family spend, in total, on shower water in the past month?
\newline
_______dollars
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A hawker buys
250
250
250
apples at a cost of
$
645
\$ 645
$645
, of which
14
%
14 \%
14%
of them are rotten and must be discarded. The hawker sets the selling price for each of the remaining apples so that the overall profit percent is not less than
30
%
30 \%
30%
. Find the range of the selling price of each apple.
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Kurt, Sophia, and Franco had a paper airplane-throwing contest after school. Kurt's airplane flew
8.6
8.6
8.6
yards. Sophia's airplane flew
2.2
2.2
2.2
yards farther than Kurt's airplane. Franco threw his airplane
1.5
1.5
1.5
times as far as Sophia's airplane. How far did Franco's paper airplane fly?
\newline
Write your answer as a whole number or decimal.
\newline
____ yards
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Becky is buying fabric to make new pillows for her couch. She spends
$
71.50
\$71.50
$71.50
on striped fabric and
$
52.25
\$52.25
$52.25
on checkered fabric. If both fabrics cost
$
5.50
\$5.50
$5.50
per yard, how many total yards of fabric does she buy?
\newline
Write your answer as a whole number or decimal.
\newline
_
_
_
_
\_\_\_\_
____
yards
\newline
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Paula invited some friends to dinner, and she plans to make fajitas. At the grocery store, she spends
$
2.56
\$2.56
$2.56
on red bell peppers and
$
1.92
\$1.92
$1.92
on green bell peppers. If both types of bell peppers cost
$
1.60
\$1.60
$1.60
per pound, how many total pounds of bell peppers does she buy?
\newline
Write your answer as a whole number or decimal.
\newline
_
_
_
_
\_\_\_\_
____
pounds
\newline
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Tammy has
$
20
\$20
$20
to spend at the movie theater. She spends
$
9.50
\$9.50
$9.50
on a movie ticket. If the snack counter sells bags of candy for
$
3.50
\$3.50
$3.50
each, how many bags of candy can Tammy buy with the money she has left?
\newline
Write your answer as a whole number or decimal.
\newline
_
_
_
\_\_\_
___
bags of candy
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During a rain shower, Jeanette collects
42
1
2
42\frac{1}{2}
42
2
1
gallons of water in a rain barrel outside her home. She uses
1
1
4
1\frac{1}{4}
1
4
1
gallons to water plants inside her house. Then, she uses
1
2
\frac{1}{2}
2
1
of the remaining water to wash a load of dirty laundry. How many gallons of water does Jeanette use to wash her laundry?
\newline
Write your answer as a whole number, fraction, or mixed number. Simplify any fractions.
\newline
_
_
_
\_\_\_
___
gallons
\newline
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Harper needs to buy some new leotards for gymnastics practice. At the sporting goods store, she finds
2
2
2
leotards on sale for
$
24.80
\$24.80
$24.80
each. She buys them both and finds out that she saved a total of
$
22.38
\$22.38
$22.38
. If she saved the same amount on each one, what was the original price of each leotard?
\newline
$
\$
$
____
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After a blizzard, Zeke shovels snow from the sidewalk in front of his house. The sidewalk is
20
1
2
20\frac{1}{2}
20
2
1
yards long. Before breakfast, Zeke shovels
1
4
\frac{1}{4}
4
1
of the sidewalk. How many yards are left for Zeke to shovel after breakfast?
\newline
Write your answer as a whole number, fraction, or mixed number. Simplify any fractions.
\newline
_
_
_
\_\_\_
___
yards
\newline
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Wendy jogs a
5.5
5.5
5.5
-mile route in the city with her running club once a week. She also jogs a nature trail near her home once a week. The nature trail is
1.5
1.5
1.5
times as long as the route in the city. How many miles does Wendy jog in all each week?
\newline
Write your answer as a whole number or decimal.
\newline
____ miles
\newline
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Hunter has
2
1
2
2 \frac{1}{2}
2
2
1
hours to spend at Wally's Game World. He spends
1
4
\frac{1}{4}
4
1
of an hour playing arcade games, and he spends the rest of the time playing miniature golf with his friends. If each round of golf takes
3
4
\frac{3}{4}
4
3
of an hour, how many rounds does Hunter play?
\newline
Write your answer as a whole number, fraction, or mixed number. Simplify any fractions.
\newline
____ rounds
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Ben wants to try a new honey-glazed salmon recipe. He starts with
1
2
3
1\frac{2}{3}
1
3
2
cups of honey. He uses
1
5
\frac{1}{5}
5
1
of it to make the glaze. How much honey does Ben have left?
\newline
Write your answer as a whole number, fraction, or mixed number. Simplify any fractions.
\newline
____ cups
\newline
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Lola has
4
1
2
4\frac{1}{2}
4
2
1
cups of rice. She uses
3
4
\frac{3}{4}
4
3
of the rice to make sushi rolls for dinner. She uses the rest of the rice to make rice pudding for dessert. How much rice does Lola use for the rice pudding?
\newline
Write your answer as a whole number, fraction, or mixed number. Simplify any fractions.
\newline
____ cups
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Sophie went to the lake with her family. First, they spent
1
1
4
1\frac{1}{4}
1
4
1
hours fishing. Then, they spent twice as much time swimming. How much time did they spend fishing and swimming in all?
\newline
Write your answer as a whole number, fraction, or mixed number. Simplify any fractions.
\newline
____ hours
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Brittany needed new tires for her truck. She went to the auto shop and bought
4
4
4
tires on sale for
$
85.95
\$85.95
$85.95
each. The salesman told her that she saved a total of
$
96.16
\$96.16
$96.16
. If Brittany saved the same amount on each tire, what was the original price of each tire?
\newline
$
\$
$
____
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Edwin has
3
1
2
3 \frac{1}{2}
3
2
1
gallons of green paint. He uses
2
3
\frac{2}{3}
3
2
of the paint to paint his bedroom. He uses the rest of the paint for a mural in his garage. How much paint does Edwin use for the mural?
\newline
Write your answer as a whole number, fraction, or mixed number. Simplify any fractions.
\newline
____ gallons
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Rosanne makes
1
1
/
2
1\ 1/2
1
1/2
liters of strawberry lemonade. She pours
1
/
4
1/4
1/4
of a liter of lemonade into a thermos to take to the park. Her brother drinks
2
/
5
2/5
2/5
of the remaining lemonade. How much lemonade does Rosanne's brother drink?
\newline
Write your answer as a whole number, fraction, or mixed number. Simplify any fractions.
\newline
____ liters
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Carmen went rock climbing at the climbing gym for
1
1
2
1\frac{1}{2}
1
2
1
hours on Thursday. On Saturday, she went to Castle Rock State Park and climbed for
1
1
2
1\frac{1}{2}
1
2
1
times as long. How much time did she spend rock climbing in all?
\newline
Write your answer as a whole number, fraction, or mixed number. Simplify any fractions.
\newline
_
_
_
_
\_\_\_\_
____
hours
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Clare follows the same workout cycle each time she goes to the gym. First, she runs for
1
3
\frac{1}{3}
3
1
of an hour. Then, she lifts weights for
1
6
\frac{1}{6}
6
1
of an hour. If Clare has
1
1
2
1\frac{1}{2}
1
2
1
hours to spend at the gym, how many times can she go through her workout cycle?
\newline
Write your answer as a whole number, fraction, or mixed number. Simplify any fractions.
\newline
____ times
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Luther owns a farm where he grows red and green tomatoes. He sells both types of tomatoes for
$
1.70
\$1.70
$1.70
per pound. One customer bought
10.6
10.6
10.6
pounds of red tomatoes and
8.3
8.3
8.3
pounds of green tomatoes. How much money did Luther earn in all from that sale?
\newline
$
\$
$
____
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Mr. Smith has an online cooking show. Before he films an episode about baking the perfect pound cake, he prepares his ingredients. His recipe calls for
2
1
2
2 \frac{1}{2}
2
2
1
cups of sugar for the cake and
1
1
4
1 \frac{1}{4}
1
4
1
cups of sugar for the vanilla glaze. How many
1
4
\frac{1}{4}
4
1
-cup scoops of sugar does he need?
\newline
Write your answer as a whole number, fraction, or mixed number. Simplify any fractions.
\newline
____ scoops
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Every Wednesday, Wayne works out for
3
4
\frac{3}{4}
4
3
of an hour at the fitness center. Every Saturday, he goes to the fitness center again and exercises for
3
3
3
times as long. How much time does Wayne spend at the fitness center in all each week?
\newline
Write your answer as a whole number, fraction, or mixed number. Simplify any fractions.
\newline
____ hours
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Stefan has
4
1
2
4\frac{1}{2}
4
2
1
cups of oats. He uses
3
1
4
3\frac{1}{4}
3
4
1
cups to make granola bars for a camping trip. He saves the rest of the oats to feed to his parrot, Coco. If Coco needs
1
4
\frac{1}{4}
4
1
of a cup of oats each day, how many days can Stefan feed Coco with the oats he has left?
\newline
Write your answer as a whole number, fraction, or mixed number. Simplify any fractions.
\newline
____ days
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Julian is making potato salad for a family picnic. At the market, he spends
$
5.58
\$5.58
$5.58
on red potatoes and
$
4.68
\$4.68
$4.68
on yellow potatoes. If each type of potato costs
$
0.90
\$0.90
$0.90
per pound, how many total pounds of potatoes does he buy?
\newline
Write your answer as a whole number or decimal.
\newline
_
_
_
_
\_\_\_\_
____
pounds
\newline
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Jasmine is having friends over to watch a football game. She has
2
1
2
2 \frac{1}{2}
2
2
1
hours until her guests arrive. She spends
2
5
\frac{2}{5}
5
2
of that time cleaning and the rest of the time preparing snacks. How much time does Jasmine spend preparing snacks?
\newline
Write your answer as a whole number, fraction, or mixed number. Simplify any fractions.
\newline
_
_
_
\_\_\_
___
hours
\newline
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Kiera and her brother, Mitchell, are saving money to adopt a puppy. Kiera currently has
126
126
126
$
\$
$
and plans to save an additional
14
14
14
$
\$
$
each week. Mitchell currently has
42
42
42
$
\$
$
and plans to save an additional
20
20
20
$
\$
$
each week.
\newline
How many weeks will pass before Kiera and Mitchell have the same amount of money? How much money will they each have?
\newline
In ___ weeks, Kiera and Mitchell will each have
$
\$
$
___.
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Pillan earns
$
7.25
\$7.25
$7.25
an hour weeding gardens. Maska earns
$
5.50
\$5.50
$5.50
an hour trimming hedges. They decide to pool their money and split it evenly. How much do they each have after working for
8
8
8
hours? Show your work.
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Saientist put an experiment to measure the gravitational force using two large spheres. In addition, both the spheres are
1000.0
k
g
1000.0 \mathrm{~kg}
1000.0
kg
, and their centres of mass are
2000.0
m
2000.0 m
2000.0
m
apart. Now, calculate the gravitat inal force between these two spheres?
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In a lab experiment,
30
30
30
bacteria are placed in a petri dish. The conditions are such that the number of bacteria is able to double every
7
7
7
hours. How many bacteria would there be after
16
16
16
hours, to the nearest whole number?
\newline
Answer: ◻
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Mrs. Aquino hired a caterer for her son's graduation party.
\newline
• The caterer charges
$
135
\$135
$135
to cater a party for
10
10
10
or fewer people.
\newline
• For every
2
2
2
additional people who attend the party, the caterer charges
$
15
\$15
$15
extra.
\newline
• Mrs. Aquino spends
$
225
\$225
$225
on catering for the party.
\newline
How many people are attending the party?
\newline
_
_
_
\_\_\_
___
people
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Scavenger+Hunt
\newline
PREVIOUS ANSWER:
\newline
SYSTEMS WORD PROBLEMS
\newline
13
13
13
Scavenger Hunt
\newline
The local bookstore is having a sale on used books. Nate bought
3
3
3
hardcover books and
7
7
7
paperback books and spent
$
29.50
\$ 29.50
$29.50
. Tia bought
2
2
2
hardcover books and
5
5
5
paperback books and spent
$
20.50
\$ 20.50
$20.50
. What is the cost of a hardcover book?
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A waitress sold
18
18
18
ribeye steak dinners and
22
22
22
grilled salmon dinners, totaling
$
579.15
\$ 579.15
$579.15
on a particular day. Another day she sold
29
29
29
ribeye steak dinners and
11
11
11
grilled salmon dinners, totaling
$
583.96
\$ 583.96
$583.96
. How much did each type of dinner cost?
\newline
The cost of ribeye steak dinners is
$
□
\$ \square
$
□
and the cost of salmon dinners is
$
□
\$ \square
$
□
.
\newline
(Simplify your answer. Round to the nearest hundredth as needed.)
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