Question

Alex made 4 quarts of lemonade using 1 3 13 cup of sugar. Which expression could be used to determine the amount of sugar needed to make 1 quart of lemonade?

Answer 1

The amount of sugar needed to make 1 quart of lemonade is 1/12 cup.

Explanation:

Given:

Alex made 4 quarts of lemonade using 1/3 cup of sugar.

Now, to determine the amount of sugar needed to make 1 quart of lemonade.

Let the amount of sugar needed to make 1 quart of lemonade =
`x`.

So, by using the proportion we solve it:

`(quarts\ of \ lemonade)/(cup\ of\ sugar) =(quart\ of\ lemonade)/(cup\ of\ sugar)`

`(4)/((1)/(3)) =(1)/(x)`

On solving we get:

`x=((1)/(3))/(4)`

`x=(1)/(12)`

So, cup of sugar =
`(1)/(12)`

Therefore, the amount of sugar needed to make 1 quart of lemonade is 1/12 cup.