Resources

Resources

Solve proportions: word problems

Ben drinks tea at an incredible rate. He drinks

3\frac{1}{2}

liters of tea every

\frac{2}{3}

of an hour. Ben drinks tea at a constant rate.How many liters of tea does he drink in one hour?

Calculate the amount of material used in the construction of an igloo if its outer radius is

15

feet and the thickness is

6

24

yards long is cast by a radio tower that is

45

yards tall. What is the height of a nearby cell phone tower that casts a shadow

32

Astrid is in charge of building a new fleet of ships. Each ship requires

40

tons of wood, and accommodates

300

sailors. She receives a delivery of

4

tons of wood each day. The deliveries can continue for

100

days at most, afterwards the weather is too bad to allow them. Overall, she wants to build enough ships to accommodate at least

2100

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How much wood does Astrid need to accommodate

2100

In art class students are mixing blue and red paint to make purple paint. Janelys mixes

6

cups of blue paint and

5

cups of red paint. Aiden mixes

6

cups of blue paint and

5

cups of red paint. Whose purple paint will be redder?

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Janelys's purple paint will be redder.

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Aiden's purple paint will be redder.

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The two purple paints will be equally red.

Gianna and Jevonte are making fruit salads for a picnic. Gianna mixes

1

cup of melon and

5

cups of apple and Jevonte mixes

3

cups of melon and

5

cups of apple. Whose fruit salad will taste more appley?

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Gianna's fruit salad will be more appley.

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Jevonte's fruit salad will be more appley.

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The two fruit salads will be equally appley.

Students are making lemonade from a powdered lemon drink mix. Audrey mixes

1

cup of water and

3

teaspoons of powdered lemon mix. Christian mixes

1

cup of water and

3

teaspoons of powdered lemon mix. Whose mix will be more watery?

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Audrey's mix will be more watery.

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Christian's mix will be more watery.

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The two mixes will be equally watery.

In art class students are mixing blue and red paint to make purple paint. Bella mixes

1

cup of blue paint and

4

cups of red paint. Corey mixes

1

cup of blue paint and

5

cups of red paint. Whose purple paint will be redder?

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Bella's purple paint will be redder.

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Corey's purple paint will be redder.

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The two purple paints will be equally red.

Keilantra and Montraie are making fruit salads for a picnic. Keilantra mixes

5

cups of melon and

8

cups of apple and Montraie mixes

1

cup of melon and

8

cups of apple. Whose fruit salad will taste more melony?

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Keilantra's fruit salad will be more melony.

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Montraie's fruit salad will be more melony.

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The two fruit salads will be equally melony.

Savannah and Yusuf are adding chocolate chips to a batch of pre-made cookie dough to make chocolate chip cookies. Savannah mixes

5

cups of dough with

4

quarter-cups of chocolate chips and Yusuf mixes

5

cups of dough with

3

quarter-cups of chocolate chips. Whose cookies will be more chocolaty?

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Savannah's cookies will be more chocolaty.

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Yusuf's cookies will be more chocolaty.

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The two sets of cookies will be equally chocolaty.

Students are making lemonade from a powdered lemon drink mix. Dominic mixes

6

cups of water and

7

teaspoons of powdered lemon mix. Kaj mixes

1

cup of water and

7

teaspoons of powdered lemon mix. Whose mix will be more watery?

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Dominic's mix will be more watery.

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Kaj's mix will be more watery.

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The two mixes will be equally watery.

Alyssa and Landon are adding chocolate chips to a batch of pre-made cookie dough to make chocolate chip cookies. Alyssa mixes

1

cup of dough with

6

quarter-cups of chocolate chips and Landon mixes

1

cup of dough with

5

quarter-cups of chocolate chips. Whose cookies will be more chocolaty?

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Alyssa's cookies will be more chocolaty.

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Landon's cookies will be more chocolaty.

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The two sets of cookies will be equally chocolaty.

Josiah and Bella are adding chocolate chips to a batch of pre-made cookie dough to make chocolate chip cookies. Josiah mixes

4

cups of dough with

3

quarter-cups of chocolate chips and Bella mixes

2

cups of dough with

3

quarter-cups of chocolate chips. Whose cookies will be more chocolaty?

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Josiah's cookies will be more chocolaty.

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Bella's cookies will be more chocolaty.

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The two sets of cookies will be equally chocolaty.

Students are making lemonade from a powdered lemon drink mix. Jonathan mixes

3

cups of water and

2

teaspoons of powdered lemon mix. Sophia mixes

3

cups of water and

5

teaspoons of powdered lemon mix. Whose mix will be more watery?

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Jonathan's mix will be more watery.

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Sophia's mix will be more watery.

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The two mixes will be equally watery.

Violet and Evan are adding chocolate chips to a batch of pre-made cookie dough to make chocolate chip cookies. Violet mixes

1

cup of dough with

4

quarter-cups of chocolate chips and Evan mixes

5

cups of dough with

4

quarter-cups of chocolate chips. Whose cookies will be more chocolaty?

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Violet's cookies will be more chocolaty.

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Evan's cookies will be more chocolaty.

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The two sets of cookies will be equally chocolaty.

In art class students are mixing blue and red paint to make purple paint. Mariam mixes

5

cups of blue paint and

1

cup of red paint. Elijah mixes

6

cups of blue paint and

1

cup of red paint. Whose purple paint will be bluer?

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Mariam's purple paint will be bluer.

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Elijah's purple paint will be bluer.

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The two purple paints will be equally blue.

Students are making lemonade from a powdered lemon drink mix. Suav mixes

6

cups of water and

5

teaspoons of powdered lemon mix. Ashley mixes

3

cups of water and

5

teaspoons of powdered lemon mix. Whose mix will be more lemony?

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Suav's mix will be more lemony.

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Ashley's mix will be more lemony.

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The two mixes will be equally lemony.

Higher Order Thinking Isabella has three rectangular cards that are

4

5

inches. How can she arrange the cards, without overlapping, to make one larger polygon with the smallest possible perimeter? How will the area of the polygon compare to the combined area of the three cards?

Rodolfo wants to determine how best to benefit from his weekly workouts. His goal is to burn at least

3300

calories per week from jogging and playing soccer. He can burn

700

calories each hour he spends jogging and

600

calories each hour he spends playing soccer. If Rodolfo's schedule permits him to spend at most

3

hours per week playing soccer and at most

5

total hours per week exercising, which of the following exercise schedules will allow him to meet his weekly goal?

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1

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4

hours playing soccer and

1

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1

hour playing soccer and

5

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3

hours playing soccer and

2

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2

hours playing soccer and

3

Sam is painting a room. He can paint

20

square feet in an hour, while his friend James can paint

30

square feet in an hour. If they work together, how long will it take them to paint a room that is

300

Sam is painting a room. He can paint

20

square feet in an hour, while his friend James can paint

30

square feet in an hour. If they work together, how long will it take them to paint a room that is

300

\$34

4

hours at her job today. She wants to know how much she could earn

e

tomorrow if she works

10

hours at the same hourly rate. How much will Rachel earn in

10

Stan's cookie recipe makes

24

cookies and calls for exactly

384

sprinkles. He is wondering how many sprinkles

(p)

he will need to make

60

cookies. He assumes each cookie will have the same number of sprinkles. How many sprinkles does Stan need to make cookies?

Hannah works at Blooming Bouquets flower shop. She uses

2

roses for every

5

carnations in the Spring Medley bouquets. Today she will make a Spring Medley bouquet with

16

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How many carnations should Hannah use in the bouquet?

Hannah works at Blooming Bouquets flower shop. She uses

2

roses for every

5

carnations in the Spring Medley bouquets. Today she will make a Spring Medley bouquet with

16

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How many carnations should Hannah use in the bouquet?

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______carnations

Luke wants to read for

35

minutes. He reads from

5

49

6

04

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How many more minutes does Luke need to read?

A cylinder has a radius of

18\,\text{in.}

and a height of

48\,\text{in.}

If there are approximately

225\,\text{cubic inches}

in one gallon, how many gallons will the cylinder hold?

19

meters tall. What is its height in inches?

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254

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1094

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4826

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748

Find the area of a regular hexagon with side length

18

Lennox owns a big apple orchard. She ships her apples to various markets using a fleet of trucks. Every week, each truck goes on

3

trips, and for each trip Lennox gets

\$300

. On a single trip, a truck delivers

50

packs, and each pack contains

12

kilograms of apples. Overall, Lennox sells

\$4500

worth of apples in a week.

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How much does Lennox get for a single kilogram of apples?

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dollars per kilogram

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A circular track has an area of

4,900\,\text{yd}^2

. Alex ran around the whole track three times. How many yards did Alex run, to the nearest hundredth of a yard?

At Dorothy's Hair Salon,

4

gallons of shampoo will last

3

7

gallons of shampoo. How much more must she order if she wants to have enough for

12

Boris is ordering supplies for his company. He ordered

20

boxes of pencils and

32

boxes of pens. What is the ratio of boxes of pens ordered to boxes of pencils ordered?

An ice cream cone maker wants to build a more stable cone by increasing the diameter and decreasing the height of the cone. The cone currently has diameter

d

centimeters and height

h

, as shown. They want the height of the new cone to be

h'

. Which of the following is closest to the smallest radius the new cone can have so that the volume is at least the volume of the old cone?

Lauren is a teacher and takes home

92

papers to grade over the weekend. She can grade at a rate of

7

papers per hour. How many papers would Lauren have remaining to grade after working for

10

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\square

Find the diameter of a circle with an area of

415

48

Astrid is in charge of building a new fleet of ships. Each ship requires

40

tons of wood, and accommodates

300

sailors. She receives a delivery of

4

tons of wood each day. The deliveries can continue for

100

days at most, afterwards the weather is too bad to allow them. Overall, she wants to build enough ships to accommodate at least

2100

sailors. What is the number of ships Astrid can build, assuming she receives the maximum possible amount of wood?

3

videos on his channel every month. Each video averages

15

minutes in length and gets an average of

150,000

new views.The average ratio of likes-to-views of Sam's videos is

1:5

. Sam wants to reach a total of

9,000,000

views on his channel. Assuming these rates continue, for how many months does Sam need to upload videos to get to

9,000,000

views on his channel?

Cony is putting new carpet in his family room. If the dimensions of the room are

12

8

feet, how much carpet does he need?

Audrey practices the piano

602

2

weeks. Assuming she practices the same amount every week, how many minutes would she practice in

1

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Answer: minutes

Paisley practices the piano

630

5

weeks. Assuming she practices the same amount every week, how many minutes would she practice in

4

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Answer: minutes

Jayden spends a winter day recording the temperature once every three hours for science class. At

9

am, the temperature was

-3.4^{\circ} \mathrm{F}

9

am and noon, the temperature rose

2.8^{\circ} \mathrm{F}

. Between noon and

3 \mathrm{pm}

, the temperature increased by

8^{\circ} \mathrm{F}

3 \mathrm{pm}

6 \mathrm{pm}

, the temperature went down

7.5^{\circ} \mathrm{F}

. What was the temperature at

6 \mathrm{pm}

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\square

{ }^{\circ} \mathrm{F}

A scale on a blue print drawing of a house shows that

6

centimeters represents

3

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What number of centimeters on the blue print represents an actual distance of

27

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V

1

square unit. Jun-seo drew a scaled version of Polygon

V

using a scale factor of

7

and labeled it Polygon

W

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What is the area of Polygon

W

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Aliyyah is playing a game using dice. Each player takes turns rolling and adding their roll to their score.

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Aliyyah started with

-19

points and ended with

7

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How many points did Aliyyah score during the game?

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Elton is a candle maker. Each

15 \mathrm{~cm}

long candle he makes burns evenly for

6

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If Elton makes a

45 \mathrm{~cm}

long candle, how long would it burn?

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A group of kangaroo friends had a jumping contest and measured their jumps. Pocket jumped

16

meters, Hopster jumped

9

meters, and Joey jumped

5

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Find the mean length.

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Alicia drove at a constant speed and traveled

183

3

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How many miles would Alicia travel in

11

hours at the same speed?

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91

7

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How many portraits can Luke paint in

4

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Henry can write

5

pages of his novel in

3

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At this rate, how many pages can Henry write in

8

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