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Math Problems
Grade 6
Multiply and divide decimals: word problems
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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
0.20
0.20
0.20
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 grocery store sells a bag of
4
4
4
oranges for \$\(2\).\(84\). How much would it cost for \(5\) oranges?\(\newline\)Answer Attempt \(1\) out of \(2\)\(\newline\)\$
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A recipe requires
1
4
\frac{1}{4}
4
1
lb of onions to make
3
3
3
servings of soup. mark has
1
1
2
1\frac{1}{2}
1
2
1
lb of onions. how many servings can mark make.
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It costs
$
25
\$25
$25
to rent a kayak in addition to
$
7.50
\$7.50
$7.50
per hour. Logan rented the kayak at
11
:
00
11:00
11
:
00
a.m. then returned if later that evening. If he paid
$
70
\$70
$70
, what time did he return the kayak?
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Elena is making greeting cards, which she will sell by the box at an arts fair. She paid
$
54
\$54
$54
for a booth at the fair, and the materials for each box of cards cost
$
9.50
\$9.50
$9.50
. She will sell the cards for
$
11
\$11
$11
per box. At some point, she will sell enough cards so that her sales cover her expenses. How much will the sales and expenses be? How many boxes of cards will that take? Elena's sales and expenses will both be
$
_
_
_
_
\$\_\_\_\_
$____
if she sells
_
_
_
_
\_\_\_\_
____
boxes of cards.
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John buys a
25
25
25
ounces of liquid detergent for
$
10.75
\$10.75
$10.75
. How much does it cost per ounce?
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You have
6
6
6
cans of tomato sauce how many pizzas can you make if each used
1
9
\frac{1}{9}
9
1
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The cost of
15
k
g
15 \mathrm{~kg}
15
kg
of apples is
$
262.50
\$ 262.50
$262.50
. Find the cost of
25
k
g
25 \mathrm{~kg}
25
kg
of apples.
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1
1
1
. As part of a spring clearance, a men's store put dress shirts on sale,
2
2
2
for
$
25.98
\$ 25.98
$25.98
. How much will a business man pay if he buys five shirts?
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1
1
1
) For tax purposes, a car rental company assumes each car in their fleet depreciates by
6
%
6 \%
6%
per year. If the initial value of a car is
$
27
,
700.00
\$ 27,700.00
$27
,
700.00
, what will the value be when the car is
9
9
9
years old?
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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.
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Lester got
$
50
\$50
$50
for his birthday, so his mom took him to the bank to open a savings account. Going forward, Lester also plans to deposit all of his income into his savings account each week. He has two sources of weekly income: his
$
10
\$10
$10
allowance and the
$
15
\$15
$15
he makes from delivering newspapers.
\newline
At this rate, in how many weeks will Lester's savings account have
$
500
\$500
$500
?
\newline
_
_
_
\_\_\_
___
weeks
\newline
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2
2
2
.
6
6
6
In covering a distance of
30
k
m
30 \mathrm{~km}
30
km
, Arun takes
2
h
r
s
2 \mathrm{hrs}
2
hrs
more than Anil. If Arun triples his speed, then he would take
1
h
r
1 \mathrm{hr}
1
hr
less than Anil. What is Arun's speed?
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John bought a ramp
15
15
15
ft long he bought a ramp thats
15
15
15
ft long his deck is
5
5
5
tt long he wants to know how many feet the ramp would be off the ground if the ramp was attached to the deck
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Using this pattern, which fits the floor plan perfectly, how many of each tile will I need?
\newline
The Surf's Up Tile Shop told me that all of the tiles would cost
$
2019.60
\$ 2019.60
$2019.60
and that the small tiles cost
$
1.49
\$ 1.49
$1.49
each, but l've forgotten the cost of the
8
8
8
-inch tiles. Can you help me determine the cost of one of them?
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3
3
3
. Salary Increases A man gets a job with a salary of
$
30
,
000
\$ 30,000
$30
,
000
a year. He is promised a
$
2300
\$ 2300
$2300
raise each subsequent year. Find his total earnings for a
10
10
10
-year period.
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David is making rice for his guests based on a recipe that requires rice, water, and a special blend of spice, where the rice-to-spice ratio is
15
:
1
15:1
15
:
1
. He currently has
40
40
40
grams of the spice blend, and he can go buy more if necessary. He wants to make
10
10
10
servings, where each serving has
75
75
75
grams of rice.
\newline
Overall, David spends
4.50
4.50
4.50
dollars on rice.
\newline
How many servings can David make with the current amount of spice he has?
\newline
□
\square
□
servings
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George had
9
9
9
action Clickers Bonita
16
16
16
total for Complete collection if each one cost
6
6
6
dollars how much money will he needs to finish his Collection
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9
9
9
. Simone is designing a piece of artwork in the shape of a square pyramid for a hotel. She wants to cover the pyramid with decorative glass. How many square feet of glass does Simone need to cover the entire pyramid?
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Tia borrowed
$
4.55
\$ 4.55
$4.55
from her friend on
5
5
5
different days to buy lunch. If she makes
$
15
/
\$ 15 /
$15/
hour babysitting and babysits for
3
3
3
hours, how much money will Tia have after paying her friend back the money she owes?
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It costs
$
0.45
\$ 0.45
$0.45
to produce a serving of lemonade. If you sell the lemonade for
$
2.25
\$ 2.25
$2.25
, what is the beverage cost percent?
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Isabella buys
13
13
13
bottles of cranberry juice at the corner store for a total cost of
$
13.78
\$ 13.78
$13.78
. If each bottle costs the same amount, how much is
11
11
11
bottles of juice?
\newline
Answer:
$
\$
$
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A group of
4
4
4
people of which I am one of them needs to reimburse me
$
200
\$200
$200
. How much does the group need to pay me
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During a renovation project, a city's main highway was extended from
85
85
85
miles to
88
m
i
l
e
s
88 \mathrm{miles}
88
miles
. Of the following, which is closest to the increase in the highway's length, in kilometers? (
1
1
1
mile is approximately
1
1
1
.
6
6
6
kilometers)
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Ms. Chapman wants to take her scout troop to Neon Nights roller rink. The employee she spoke to ahead of time said the total cost for all
9
9
9
people in the group would be
$
81
\$81
$81
. This includes an entrance ticket and a
$
3
\$3
$3
skate rental fee for each person.
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All CDs are equally priced. If
8
C
D
s
cost
$
76.00
8 \mathrm{CDs} \operatorname{cost} \$ 76.00
8
CDs
cost
$76.00
, what is the cost of
1
C
D
1 \mathrm{CD}
1
CD
?
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Farah wants to buy a television and a radio for her grandparents. On an Internet sales, the price of a television to a radio is
7
:
4
7 : 4
7
:
4
. After a discount of
$
132
\$132
$132
on each item, the price ratio of the television to radio becomes
25
:
13
25 : 13
25
:
13
. What is the discounted price of the television?
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A square garden has sides that are
20
20
20
feet long. Fencing costs
$
1.00
\$1.00
$1.00
per foot. How much would it cost to put a fence around the garden?
\newline
$
\$
$
_____
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Caleb bought groceries and paid
1.60
1.60
1.60
in sales tax. The sales tax rate is
2.5
%
2.5\%
2.5%
. What was the price of Caleb's groceries, before tax?
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If I need to drive
60
60
60
hours within
7
7
7
months, how many trips will I need to take assuming each drive goes for
1
1
1
hour
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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
0.20
0.20
0.20
dollars per liter.
\newline
How much money did Trevor's family spend, in total, on shower water in the past month?
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A grocery store sells a bag of
7
7
7
oranges for
$
4.69
\$ 4.69
$4.69
. What is the cost of oranges, in dollars per orange?
\newline
Answer:
$
□
\$ \square
$
□
per orange
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Jaxon's car used
16
16
16
gallons to travel
432
432
432
miles. How many miles can the car go on one gallon of gas?
\newline
Answer:
□
\square
□
miles
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It cost Latanya
$
4.74
\$ 4.74
$4.74
to send
158
158
158
text messages. How much does each text cost to send?
\newline
Answer:
$
□
\$ \square
$
□
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Your friendshave been going to the local art studio and learning how to throw pottery. They have told you that there is a one time fee to join the studio and then a charge for each vessel you make. Heather paided
$
90
\$90
$90
when she made
5
5
5
vessels and Terry was charged a total of
$
108
\$108
$108
when she made
8
8
8
items. How much is the one time fee? How much does it cost to make each vessel?
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Maggie is rock climbing. After reaching the summit she descends
14
14
14
feet in
2
1
3
2 \frac{1}{3}
2
3
1
minutes. If she continues at this rate,where will Maggie be in the relation to the summit after
8
8
8
minutes?
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In winter, the price of apples suddenly went up by
$
0.75
\$0.75
$0.75
per pound. Sam bought
3
3
3
pounds of apples at the new price for a total of
$
5.88
\$5.88
$5.88
. What was the original price per pound of apples before the increase?
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23
23
23
.
\newline
At his Fourth of July party, Owen serves his famous grilled chicken. His secret is to use
250
250
250
milliliters of lemon-garlic marinade for every kilogram of chicken. Owen plans to grill
5
5
5
kilograms of chicken. How many liters of marinade should he use?
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Prashun spends
$
3.24
\$3.24
$3.24
an hour over his vacation. How many cents does he spend in a week if he spends for
8
8
8
hours each day?
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Four students, Rahul, Mia, Mila, and Andres, line up one behind the other. How many different ways can they stand in line?
\newline
Answer:
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A hoverboard manufacturer has just announced the Glide
5
5
5
hoverboard. The accounting department has determined that the cost to manufacturer the Glide
5
5
5
hoverboard is
y
=
33.75
x
+
40256
y=33.75 x+40256
y
=
33.75
x
+
40256
. The revenue equation is
y
=
96.65
x
y=96.65 x
y
=
96.65
x
. What is the break even point for the Glide
5
5
5
hoverboard?
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The ratio of the weight of an object on Mars to the weight of an object on Earth is
0.4
0.4
0.4
to
1
1
1
. How much will a
122
lb
122 \, \text{lb}
122
lb
astronaut weigh on Mars?
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Mariana buys
3
3
3
bottles of pineapple juice at the corner store for a total cost of
$
3.27
\$3.27
$3.27
. If each bottle costs the same amount, how much is
19
19
19
bottles of juice?
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A company orders
30
30
30
boxed lunches from a deli for
$
295.50
\$295.50
$295.50
. If each boxed lunch costs the same amount, how much do
9
9
9
boxed lunches cost?
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Simba Travel Agency arranges trips for climbing Mount Kilimanjaro. For each trip, they charge an initial fee of
$
X
\$X
$
X
in addition to a constant fee for each vertical meter climbed. For instance, the total fee for climbing to the Shira
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Tim and Tom are trying to earn money to buy a new game system over a
3
3
3
-month period. Tim saved
$
45.06
\$45.06
$45.06
each month. If they need a total of
$
210.51
\$210.51
$210.51
to buy the game system, how much does Tom need to earn each of the
3
3
3
months in order to buy the game system?
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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
0.20
0.20
0.20
dollars per liter.
\newline
How much did Trevor's family pay per minute on shower water?
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Try Again
\newline
Your answer is incorrect.
\newline
A bus company is replacing all the old seats in its buses with new ones. The company owns
14
14
14
buses and each bus has
23
23
23
seats. It costs
$
91.40
\$91.40
$91.40
to purchase each new seat, as well as an additional
$
33.40
\$33.40
$33.40
to Install each new seat. What is the total cost the company will pay?
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Drew painted his uncle's barn on Saturday. It took him
8
8
8
hours to paint the whole barn, and his uncle paid him
224
224
224
dollars for his work. What was Drew's pay rate, in dollars per hour?
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Aisha is starting a running plan to train for a race. In the first week of her running plan, Aisha will run
6
6
6
miles. The plan calls for Aisha to increase her weekly mileage by
2
2
2
.
5
5
5
miles every week. If Aisha sticks to the plan, how many miles would she be expected to run during her
1
3
th
13^{\text {th }}
1
3
th
week of the training plan?
\newline
Answer:
□
\square
□
miles
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