Question

Elyse needs 3 gallons of water to mix a fruit drink, but she has a 1-cup measuring cup. She knows that there are 4 cups in 1 quart, and 4 quarts in 1 gallon. Fill in the blanks to explain how Elyse can find the number of cups of water she needs to mix the fruit drink.

Answer 1

she needs 48 cups to mix her fruit drink thing

Answer 2

1st blank: Multiply

2nd blank: 4 quarts per cup

3rd blank: 16 cups

4th blank: Multiply

5th blank: 16 cups per gallon

6th blank: 48 cups.

Explanation:

We have been given that Elyse needs 3 gallons of water to mix a fruit drink, but she has a 1-cup measuring cup. She knows that there are 4 cups in 1 quart, and 4 quarts in 1 gallon.

Elyse can use the unit rate. First she can multiply 4 cups in a quart by 4 quarts per gallon to find that there are 16 cups in 1 gallon. She can then multiply 3 gallons by 16 cups per gallon to determine that she will need 48 cups of water to mix the fruit drink.

`\frac{\text{4 cups}}{\text{Quart}}*\frac{\text{4 quarts}}{\text{gallon}}=\frac{\text{16 cups}}{\text{gallon}}`

Step 2:

`3\text{ gallons}*\frac{\text{16 cups}}{\text{gallon}}=3* \text{16 cups}=\text{48 cups}`