Question

Latoya needs 2 gallons of juice to make a fruit punch for an event, but she only has a measuring cup. She knows there are 4 quarts in 1 gallon, 2 pints in 1 quart, and 2 cups in 1 pint. How many cups of juice does she need to make 2 gallons?

Answer 1

Latoya would need 32 cups of juice to make 2 gallons.

Answer 2

32 cups of juice Latoya need to make 2 gallons .

Explanation:

As given

Latoya needs 2 gallons of juice to make a fruit punch for an event, but she only has a measuring cup .

Latoya knows that there are

4 quarts = 1 gallon

2 pints = 1 quart

2 cups = 1 pints

As take

2 cups = 1 pints

Multiply above by 2 on both sides .

4 cups = 2 pints ( As 2 pints = 1 quart )

Thus

4 cups = 1 quarts

Multiply the above by 4 on both sides.

Thus

16 cups = 4 quarts (As 4 quarts = 1 gallon)

Thus

16 cups = 1 gallon

Now calculate how much gallons of juice contain by 1 cups.

`Gallons\ of\ juice\ contain\ by\ 1\ cups = (1)/(16)\ gallons`

Let us assume that the number of cups of juice does Latoya need to make 2 gallons be x.

Than

`(1* x)/(16) = 2`

x = 16 × 2

x = 32 cups

Therefore 32 cups of juice Latoya need to make 2 gallons .