Resources

Resources

Identify quotients of rational numbers: word problems

A local television station sells time slots for programs in

30

-minute intervals. If the station operates

24

hours per day, every day of the week, what is the total number of

30

-minute time slots the station can sell for Tuesday and Wednesday?

A drink bottler needs to fill

20

one-pint bottles, and he has two tanks: one that contains

2

gallons of soda, and a second that contains

3

gallons. Which will he need to fill the bottles?

Your local recreation department is constructing a fence around a children's play area. How many feet of fencing will be needed?

A frozen pepperoni pizza has

6

servings. If the pizza contains a total of

1860

calories, what is the number of calories per serving?

A PT teacher asks

4000

students to stand in a way that the number of rows is equal to the number of columns. Find the number of rows if

31

students were left after the arrangement.

At their family reunion, the Sweeney family recorded everyone's age.

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How many people are there in all?

Charles owns a toy store. There are

8

dolls for every

5

dump trucks in his inventory. If there are

35

dump trucks, how many dolls are in the store?

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11

80

inches of ribbon to tie onto some balloons. He attaches

1

foot of ribbon to each balloon. How many balloons have ribbons?

The number of sheets of paper available for making notebooks is

75000

. Each sheet makes

8

HOW pages of a notebook. Each notebook contains

200

pages. How many notebooks can be made from the paper available?

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The cost of a certain number of pens is

₹ 72

. If the cost of each pen is decreased by then

8

more pens can be purchased for the same amount. How many pens can be purey for the same amount if the cost of each pen is increased by

₹ 1.50

1

: The town of Palooza, Maryland is known for its abundant grain crops. Many of the farmers store their grain harvest in these hoppers shown below. If filled to capacity, how much grain can each hopper hold?

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Show work here:

42

hours in a week, a plumber receives

\$ 720

. What is the plumber's hourly wage considering they are paid time and a half for every hour over

40 ?

\frac{4}{5}

of a can of paint covers

1

ceiling how many cans needed for

6

A French club collected the same amount from each student going on a trip to Le Cercle Molière in Winnipeg. When six students could not go, each of the remaining students was charged an extra

\$ 3

. If the total cost was

\$ 540

, how many students went on the trip?

A junior basketball player has a goal of scoring at least

1000

points during his high school career. His team plays

20

games per year, and after

2

320

points. How many points does he have to average per game over his last

2

yr to reach his goal?

2025

plants are to be planted in a garden in a such way that each row contains as many plants as the number of raws. find the number of the raws and the number of plants in each row

8

classrooms are required if each class has

33

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How many classrooms would be required if the class size has reduced to

22

60

mile trip at an average speed of

20

mph. On the return trip, the car’s average speed was

30

mph. What was the average speed of the car for the entire two-way trip?

1

table spoon per gallon of water how many table spoons do you put in to make a liter mixture?

A frozen pepperoni pizza has

6

servings. If the pizza contains a total of

1,860

calories, what is the number of calories per serving?

7

18

streetlights evenly spaced on a

1

5

-mile road. How many streetlights would you expect on a

4

-mile road in which they are spaced out the same?

4

. A theater sold

300

tickets to a special benefit performance. The ticket prices were

\$ 4

for children and

\$ 6

for adults. If three times as many adults attended as children, how many adults attended?

65

people attend a concert and tickets for adults cost

\$ 3

while tickets for children cost

\$ 2.5

and total receipts for the concert was

\$ 180

, how many of each went to the concert?

According to a website where users review their doctors,

116

119

users would recommend Dr. Gutierrez to their friends and family. If the website users are representative of Dr. Gutierrez's

1,293

patients, about how many patients would recommend Dr. Gutierrez to their friends and family?

If a boat sails

120

3

hours, how many miles will it sail in

7

[?]

A recipe calls for

4

cups of flour for a batch of

12

cookies, how many cookies can be made with one cup of flour?

Walnuts are sold in packages that weight

3

ounces. If there is a supply of

54

ounces of walnuts, how many packages of walnuts can be made?

91

7

weeks. How many portraits can Luke paint in

4

A basketball game was scheduled to last

72

minutes, including the breaks between quarters. Several timeouts were used throughout the game, resulting in the game lasting a total of

60

minutes, including breaks. If each timeout was

x

seconds, how many total timeouts were used during the game?

38

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1

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5

vans to transport

42

people, how many vans are needed to transport

168

A grandfather is six times as old as his grandson. If the grandfather was

45

when his grandson was born, how old is the grandson?

The force that friction exerts on a car is proportional to its mass. Suppose friction exerts

6272\,\text{N}

1600\,\text{kg}

car on a wet road. How many newtons of force would friction exert on a

2400\,\text{kg}

car under the same conditions?

At a lunch stand, each hamburger has

50

more calories than each order of fries. If

2

3

orders of fries have a total of

1700

calories, how many calories does a hamburger have?

3

(c)

of flour to bake

2

loaves of bread. If

1

(lb)

of flour is equivalent to

3\frac{1}{3} c ,

how many loaves of bread can the baker make with a

10

lb

- bag of flour?

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(Round the answer to the nearest whole number.)

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A local package delivery service wants to improve the efficiency of its deliveries. As a first step, the management team decides to conduct a study to determine the average length of time from the arrival of a package at the company's mail center until its delivery at a home. Which of the following methods is most likely to produce valid results?

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1

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(A) The team selects the

1,000

heaviest packages in a one-week, non-holiday period and records how long it takes for each package to reach its destination.

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(B) The team calls

1,000

residents in their delivery area and asks them whether they have received a package from their service in the past week. They will then record how long it took for those packages to reach their destination.

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(C) The team selects a random sample of

1,000

packages arriving at the center over a one-week, non-holiday period and records how long it takes for each package to reach its destination.

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(D) None of the above

The least amount of wrapping paper needed to wrap a cube-shaped gift is

150

square inches. How long is one side of the gift?