6.4B Apply Proportional Reasoning

On a shelf, the ratio of science books to math books is 4:3. There are 36 science books on the shelf. How many math books are on the shelf?

• 48

• 35

• 27

• 63

There are 63 dogs at a dog show. The ratio of the number of large dogs to the number of small dogs is 4:3. How many dogs at the dog show are small dogs?

• 36

• 21

• 9

• 27

At a store, the ratio of the number of limes sold to the number of lemons sold is 2:3. Complete the table to show the relationship between the number of limes sold and the number of lemons sold. Move the correct answer to each box in the table. Not all answers will be used.

• 87

• 45

• 16

• 72

• 36

Avery and Mason are both swimming laps in the same swimming pool. - Avery can swim 3 laps in 2 minutes. - Mason can swim 5 laps in 4 minutes. Based on these rates, which statement is NOT true?

• Avery can swim 6 laps in 4 minutes.

• Mason can swim 2.5 laps in 2 minutes.

• Avery can swim 2 laps farther than Mason in 8 minutes.

• Mason can swim 0.5 lap farther than Avery in 2 minutes.

Taylor and Raimi each earn an hourly wage. Taylor earns $308 for working 14 hours. Raimi earns $288 for working 12 hours. Which statement is true?

• Taylor earns more per hour than Raimi.

• Raimi earns more per hour than Taylor.

• Raimi earns $26.80 per hour.

• Taylor earns $21.34 per hour.

The table shows the ratio of people who ate a certain type of lunch to the total number of people who ate lunch. A total of 840 people ate lunch. Which statement is true?

• Half as many people ate a turkey sandwich as ate a vegetarian sandwich.

• One-fourth as many people ate a vegetarian sandwich as ate a salad.

• There were 56 more people who ate a turkey sandwich than ate a chicken sandwich.

• There were 28 more people who ate a salad than ate a chicken sandwich.

The table shows the amount of sugar Felisha mixes with each amount of water she puts in her hummingbird feeder. Based on the information in the table, how many cups of sugar should Felisha mix with 6 cups of water?

• 1 1/2 c

• 3 5/4 c

• 4 2/3 c

• 3 3/8 c

The ratio of the number of boys to the number of girls in a choir is 5 to 4. There are 60 girls in the choir. How many boys are in the choir?

• 75

• 61

• 48

• 80

A grocery store clerk put only packages of flour tortillas and packages of corn tortillas on a shelf. The ratio of the number of packages of corn tortillas to the total number of packages on the shelf was 7 to 16. Which number could be the number of packages of flour tortillas the clerk put on the shelf?

• 23

• 18

• 14

• 32

The table shows the time Monique worked and the amount of money she earned during four different weeks. Based on the information in the table, how much will Monique earn if she works 40 hours in a week?

• $330

• $255.75

• $297

• $82.50