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 2 : 3/4.
the value of the ratio is
the amount of white grape juice is the amount of sugar.

Explanation:

Step1: Recall ratio value formula

The value of a ratio \(a:b\) is \(\frac{a}{b}\). Here, \(a = 2\) (white grape juice) and \(b=\frac{3}{4}\) (sugar).

Step2: Calculate the ratio value

\(\frac{2}{\frac{3}{4}}=2\times\frac{4}{3}=\frac{8}{3}\)

Step3: Interpret the ratio

The value \(\frac{8}{3}\) means the amount of white grape juice is \(\frac{8}{3}\) times the amount of sugar.

Answer:

The value of the ratio is \(\boldsymbol{\frac{8}{3}}\).
The amount of white grape juice is \(\boldsymbol{\frac{8}{3}}\) times the amount of sugar.