Mastering Equivalent Ratios Bell Ringer

If the ratio of cats to dogs in a pet store is 3:4, which of the following is an equivalent ratio of cats to dogs?

• 6:8

• 5:6

• 9:12

• 7:9

Answer explanation

The equivalent ratio of cats to dogs is 6:8, which simplifies to 3:4. This matches the given ratio in the pet store.

Tags

6-RP3a

6-RP3

For a cake recipe, you need 2 cups of flour for every 3 cups of sugar. If you plan to prepare a large cake using 10 cups of sugar, how many cups of flour are required?

• 4

• 6.67

• 8

• 6

Answer explanation

To make a batch using 10 cups of sugar, you need 6.67 cups of flour. This is because for every 3 cups of sugar, the recipe calls for 2 cups of flour. Therefore, 10 cups of sugar would require (10/3) * 2 = 6.67 cups of flour.

Tags

6-RP3a

6-RP3

In a school's art competition, the ratio of blue paintings to red paintings submitted is 5:2. If there are 20 blue paintings, how many red paintings were submitted?

• 4

• 8

• 10

• 16

Answer explanation

The ratio of blue marbles to red marbles is 5:2. Since there are 20 blue marbles, we can find the number of red marbles by setting up a proportion. 5/2 = 20/x. Solving for x, we get x = 8. Therefore, there are 8 red marbles.

Tags

6-RP3a

6-RP3

A map uses a scale where 1 inch represents 10 miles. If two cities are 3 inches apart on the map, how far are they apart in reality?

• 30 miles

• 20 miles

• 40 miles

• 10 miles

Answer explanation

The two cities are 30 miles apart in reality because 3 inches on the map represents 30 miles, according to the given scale.

Tags

6-RP3a

6-RP3

A school's ratio of students to teachers is 25:1. If there are 500 students, how many teachers are there?

• 20

• 25

• 50

• 10

Answer explanation

The correct answer is 20 because for every 25 students, there is 1 teacher. Therefore, for 500 students, there would be 20 teachers.

Tags

6-RP3a

6-RP3