Question

the directions for lemonade say to put 2 cups of liquid concentrate into 1 gallon of water. if you only want to make 1 pint of lemonade, how many fluid ounces of concentrate should you use

Answer 1

We need 2 fluid ounces of the liquid.

Explanation:

We have that,

Ratio for the cups and the water = 2 cups : 1 gallon.

It is required to find the number of cups to be added in 1 pint of lemonade.

Since, we know,

1 cup = 8 ounces i.e. 2 cups = 16 ounces

1 pint = 16 ounces

1 gallon = 128 ounces

Thus, we have the relation between ratio of the cups and the liquid as,

`(16)/(128)=(x)/(16)`

i.e.
`x=(16* 16)/(128)`

i.e.
`x=(256)/(128)`

i.e. x = 2

Thus, we need 2 fluid ounces of the liquid.