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 = [tex]x[/tex].
So, by using the proportion we solve it:
[tex]\frac{quarts\ of \ lemonade}{cup\ of\ sugar} =\frac{quart\ of\ lemonade}{cup\ of\ sugar}[/tex]
[tex]\frac{4}{\frac{1}{3}} =\frac{1}{x}[/tex]
On solving we get:
[tex]x=\frac{\frac{1}{3}}{4}[/tex]
[tex]x=\frac{1}{12}[/tex]
So, cup of sugar = [tex]\frac{1}{12}[/tex]
Therefore, the amount of sugar needed to make 1 quart of lemonade is 1/12 cup.
