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

Answer:

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

Step-by-step 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:

$\frac{quarts\ of \ lemonade}{cup\ of\ sugar} =\frac{quart\ of\ lemonade}{cup\ of\ sugar}$

$\frac{4}{\frac{1}{3}} =\frac{1}{x}$

On solving we get:

$x=\frac{\frac{1}{3}}{4}$

$x=\frac{1}{12}$

So, cup of sugar = $\frac{1}{12}$

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