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?
Latoya would need 32 cups of juice to make 2 gallons.
Answer:
32 cups of juice Latoya need to make 2 gallons .
Step-by-step 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.
\(Gallons\ of\ juice\ contain\ by\ 1\ cups = \frac{1}{16}\ gallons\)
Let us assume that the number of cups of juice does Latoya need to make 2 gallons be x.
Than
\(\frac{1\times x}{16} = 2\)
x = 16 × 2
x = 32 cups
Therefore 32 cups of juice Latoya need to make 2 gallons .