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
lime juice to mint leaves
the ratio is $\frac{3}{4} : \frac{1}{2}$.
the value of the ratio is
the amount of lime juice is the amount of mint leaves.

Explanation:

Step1: Recall ratio value formula

The value of a ratio \(a:b\) is \(\frac{a}{b}\). Here, \(a = \frac{3}{4}\) and \(b=\frac{1}{2}\), so we calculate \(\frac{\frac{3}{4}}{\frac{1}{2}}\).

Step2: Divide the fractions

Dividing by a fraction is multiplying by its reciprocal: \(\frac{3}{4}\div\frac{1}{2}=\frac{3}{4}\times\frac{2}{1}\).
Simplify the multiplication: \(\frac{3\times2}{4\times1}=\frac{6}{4}=\frac{3}{2}\).

Step3: Interpret the ratio value

The value \(\frac{3}{2}\) means the amount of lime juice is \(\frac{3}{2}\) times the amount of mint leaves.

Answer:

The value of the ratio is \(\frac{3}{2}\).
The amount of lime juice is \(\frac{3}{2}\) times the amount of mint leaves.