Question

find the ratio. then find and interpret the value of the ratio.
fruit punch ingredients
chopped watermelon 3 cups
sugar 3/4 cup
mint leaves 1/2 cup
white grape juice 2 cups
lime juice 3/4 cup
club soda 4 cups
white grape juice to sugar
the ratio is \\(\square : \square\\).
the value of the ratio is \\(\square\\).
the amount of white grape juice is \\(\square\\) the amount of sugar.

Explanation:

Step1: Identify quantities

White grape juice: 2 cups; Sugar: $\frac{3}{4}$ cup.

Step2: Find the ratio

Ratio of white grape juice to sugar: $2 : \frac{3}{4}$. Multiply both parts by 4 to eliminate fraction: $(2\times4) : (\frac{3}{4}\times4) = 8 : 3$.

Step3: Find the value of the ratio

Value is $\frac{2}{\frac{3}{4}} = 2\times\frac{4}{3} = \frac{8}{3}$.

Step4: Interpret the ratio

The amount of white grape juice is $\frac{8}{3}$ times the amount of sugar.

Answer:

The ratio is $8 : 3$.
The value of the ratio is $\frac{8}{3}$.
The amount of white grape juice is $\frac{8}{3}$ times the amount of sugar.