Question

a recipe for lemonade calls for 2 cups of sugar for every 1/2 cup of lemon juice. How many cups of sugar would be needed if you had 3 cups of lemon juice?​

Answer 1

Answer: 12cups of sugar

Explanation:

2cups of sugar = 1/2cup of memo

Xcups of sugar =3cups of lemon

X = 6÷ 1/2

= 12

Answer 2

12 cups sugar

Explanation:

there are a couple ways to do this...by unit rate or a proportion...

2 cups of sugar for every 1/2 cup of lemon juice

2 / (1/2) = 2 * 2 = 4.....the unit rate is 4/1....or 4 cups of sugar for every 1 cup of lemon.

so if u have 3 cups of lemon, and 1 cup of lemon = 4 cups of sugar, then 3 cups of lemon would equal (4 * 3) = 12 cups of sugar

or set it up as a proportion...

2 cups sugar to 1/2 cup lemon = x cups sugar to 3 cups lemon

2 / (1/2) = x / 3....cross multiply

(1/2)(x) = (3)(2)

1/2x = 6

x = 6 * 2

x = 12 cups sugar

either way u choose to do it will result in the same answer.