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Diagrams
100

12:3 and 4:1

Yes.

12 divided by 2 is 4 and 3 divided by 3 is 1.

100

A slug travels 3 centimeters in 3 seconds. A snail travels 6 centimeters in 6 seconds. Both travel at constant speeds. Is the slug traveling faster, slower or at the same pace as the snail?

They are moving at the same pace. 3:3 and 6:6 are equivalent ratios. 

100

A pound of ground beef costs $5. At this rate, what is the cost of 3 pounds of ground beef?

$15

100

Four bags of chips cost $6. What is the cost per bag?

$1.50 per bag

100

A recipe for one batch of spice mix says, "Combine 3 teaspoons of mustard seeds, 5 teaspoons of chili powder, and 1 teaspoon of salt." How many batches are represented by the diagram?

3 batches

200

4:8 and 1:2 

Yes.

4 divided by 4 is 1 and 8 divided by 4 is 2.

200

A plane travels at a constant speed. It takes 6 hours to travel 3,360 miles. What is the plane's speed in miles per hour? 

560 miles per hour 

The ratio is 6:3360

Divide each side by 6

200

Diego estimates that there will need to be 3 pizzas for every 7 kids at his party. Is the following statement true or false?

"The ratio of kids to pizzas is 3:7."

False. The ratio of kids to pizzas is 7:3.

200

At a used book sale, 5 books cost $15. At this rate how many books can you buy for $21?

7 books

200

A particular shade of orange paint has 2 cups of yellow paint for every 3 cups of red paint. On the double number line, circle the numbers of cups of yellow and red paint needed for 3 batches or orange paint. 

6:9

300
14:21 and 2:7

No. 

14 divided by 7 is 2 but 21 divided by 7 is 3.

300

John ran 10 meters in 2.7 seconds. Mary ran 10 meters in 2.4 seconds. At this rate how long would it take each person to run 50 meters?

John 13.5 seconds 

Mary 12 seconds 

300

This double number line diagram shows the amount of flour and eggs needed for 1 batch of cookies.

How much flour is used with 6 eggs?

10 cups of flour

300

Tulip bulbs are on sale at store A, at 5 for $11, and the regular price at store B is 6 for $13. Is each store pricing tulip bulbs at the same rate? 

No, store A is more expensive 
300

The olive trees in an orchard produce 3,000 pounds of olives a year. It takes 20 pounds of olives to make 3 liters of olive oil. How many liters of olive oil can this orchard produce in a year? 

1500 liters of olive oil

400

11:28 and 44:112

Yes. 

11 times 4 is 44 and 28 times 4 is 112.

400

A cargo ship traveled 150 miles in 6 hours at a constant speed. How far did the cargo ship travel in 1 hour?

25 miles

400

In a triple batch of a spice mix, there are 6 teaspoons of garlic powder and 15 teaspoons of salt. How much garlic powder is used with 5 teaspoons of salt?

2 teaspoons of garlic powder 

400

A grocery store is having a sale on frozen vegetables. Four bags are being sold for $11.96. At this rate what is the cost of 9 bags?

$26.91

400

Sally reads 5 pages in 20 minutes. She spends the same amount of time per page. How long will it take her to read 11 pages? 

44 minutes

500

8:5 and 136:90

No.

8 times 17 is 136 and 5 times 17 is 85.

500

A scooter travels 30 feet in 2 seconds at a constant speed. What is the speed of the scooter in feet per second? 

15 feet per second

500

A recipe for pasta dough says, "Use 150 grams of flour per large egg." How many eggs are needed if 450 grams of flour are used? 

3 eggs

500
Neon bracelets cost $1 for 4 bracelets. At this rate, how much will 11 neon bracelets cost?

$2.75

500

At the kennel the ratio of cats to dogs is 4:5. There are 27 animals in all. Here is a tape diagram representing this ratio. How many dogs are at the kennel?

15 dogs

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