M6 6.PFA.1 - Ratios

A recipe calls for 3 cups of flour for every 2 cups of sugar. What is the ratio of flour to sugar?

Answer explanation

The recipe specifies 3 cups of flour for every 2 cups of sugar. This means the ratio of flour to sugar is 3:2, making the correct choice 3:2.

Tags

VA.6.PFA.1.a

If there are 8 apples and 12 oranges, what is the ratio of apples to the total number of fruits?

Answer explanation

To find the ratio of apples to the total number of fruits, first calculate the total: 8 apples + 12 oranges = 20 fruits. The ratio is 8 apples to 20 fruits, which simplifies to 8:20, making this the correct choice.

Tags

VA.6.PFA.1.c

The ratio of cats to dogs in a shelter is 3:5. How would you describe this relationship in words?

• For every 5 cats, there are 3 dogs.

• For every 3 dogs, there are 5 cats.

• For every 3 cats, there are 5 dogs.

• For every 5 dogs, there are 3 cats.

Answer explanation

The ratio of cats to dogs is 3:5, meaning for every 3 cats, there are 5 dogs. Therefore, the correct description is 'For every 3 cats, there are 5 dogs.'

Tags

VA.6.PFA.1.d

A school has 120 students, and the ratio of boys to girls is 2:3. How many boys are there in the school?

• 48

• 72

• 60

• 80

Answer explanation

The ratio of boys to girls is 2:3, meaning for every 5 students, 2 are boys. With 120 students, the number of boys is (2/5) * 120 = 48. Thus, there are 48 boys in the school.

Tags

VA.6.PFA.1.a

Which of the following represents the ratio of 7 to 9 using the notation "a to b"?

Answer explanation

The ratio of 7 to 9 is correctly expressed as '7 to 9', which indicates the relationship between the two numbers. The other options do not represent this ratio in the required format.

Tags

VA.6.PFA.1.b

In a fruit basket, the ratio of bananas to apples is 4:3. What is the ratio of bananas to the total number of fruits?

Answer explanation

The ratio of bananas to apples is 4:3. The total number of fruits is 4 + 3 = 7. Therefore, the ratio of bananas to the total number of fruits is 4:7, making the correct choice 4:7.

Tags

VA.6.PFA.1.c

The ratio of red marbles to blue marbles is 2:5. How would you express this relationship in words?

• For every 5 red marbles, there are 2 blue marbles.

• For every 2 blue marbles, there are 5 red marbles.

• For every 2 red marbles, there are 5 blue marbles.

• For every 5 blue marbles, there are 2 red marbles.

Answer explanation

The ratio of red marbles to blue marbles is 2:5, meaning for every 2 red marbles, there are 5 blue marbles. This matches the correct choice, which accurately reflects the given ratio.

Tags

VA.6.PFA.1.d

Q. 

Kevin is mixing paint to make orange. The ratio of red paint to yellow paint is 3 oz to 5 oz. How much yellow paint should he mix with 9 oz of red paint?

• 15 oz

• 45 oz

• 30 oz

• 11 oz

Answer explanation

The ratio of red to yellow paint is 3:5. If Kevin uses 9 oz of red paint, he needs to find the corresponding amount of yellow. Using the ratio, (9 oz red) * (5 oz yellow / 3 oz red) = 15 oz yellow. Thus, he should mix 15 oz of yellow paint.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

CCSS.6.RP.A.3

To make iced tea, 5 tea bags can be added to 1 gallon of water. Use the ratio table to find how many tea bags to use for 4 gallons of water.

• 10

• 20

• 15

• 25

Answer explanation

To find the number of tea bags for 4 gallons, use the ratio: 5 tea bags per 1 gallon. Multiply 5 by 4 to get 20 tea bags for 4 gallons. Thus, the correct answer is 20.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

CCSS.6.RP.A.3

To make coffee, one small scoop of coffee grounds is added to 2 cups of water. Use the ratio table to find how many cups of water to use for 5 scoops of coffee.

• 4

• 6

• 10

• 8

Answer explanation

The ratio of coffee grounds to water is 1 scoop to 2 cups. For 5 scoops, multiply 5 by 2 to get 10 cups of water. Therefore, the correct answer is 10.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

CCSS.6.RP.A.3