Ratio and Proportion

Solve the following ratio problem: If a recipe calls for 2 cups of flour and 3 cups of sugar, what is the ratio of flour to sugar?

• 4:3

• 2:3

• 1:2

• 3:2

Explain what a proportional relationship is and provide an example.

• A proportional relationship is when two quantities have a fixed ratio between them, regardless of the values involved.

• An example of a proportional relationship is the relationship between the number of siblings a person has and their height.

• An example of a proportional relationship is the relationship between the number of hours worked and the amount of money earned. If someone earns $10 for every hour worked, the more hours they work, the more money they will earn, showing a proportional relationship.

• Proportional relationships only exist in mathematical equations and cannot be observed in real-life scenarios.

Find the equivalent ratio of 3:5 by multiplying both parts by 2.

• 7:12

• 5:8

• 6:10

• 4:6

If the ratio of boys to girls in a class is 2:3 and there are 20 boys, how many girls are there?

• 25

• 30

• 40

• 35

What is the ratio of apples to oranges if there are 4 apples and 6 oranges?

• 3:4

• 2:3

• 1:2

• 5:6

If 5 pens cost $10, what is the cost of 8 pens?

• $12

• $18

• $14

• $16

If the ratio of red marbles to blue marbles is 3:5, and there are 15 red marbles, how many blue marbles are there?

• 30

• 10

• 20

• 25

Explain how to simplify a ratio and provide an example.

• For example, to simplify the ratio 6:9, the GCD of 6 and 9 is 3. Dividing both parts by 3 gives the simplified ratio 2:3.

• To simplify a ratio, add the two parts together and divide by 2.

• To simplify a ratio, find the LCM of the two parts and divide by it.

• To simplify a ratio, multiply both parts by a common factor.

If the ratio of cats to dogs in a shelter is 4:7, and there are 28 dogs, how many cats are there?

• 20

• 16

• 24

• 32

If the ratio of students to teachers in a school is 25:1, and there are 500 students, how many teachers are there?

• 20

• 22

• 15

• 30