Question

You mix 2 1/2 quarts of juice with 6 2/3 quarts of ginger ale to make fruit punch. What is the ratio of the amount of juice to the amount of ginger ale in simplest form

Answer 1

Ratio of the amount of juice to the amount of ginger  in simplest form is 3 : 8

Solution:

Given that,

You mix 2 1/2 quarts of juice with 6 2/3 quarts of ginger ale to make fruit punch

To find: ratio of the amount of juice to the amount of ginger ale in simplest form

From given,

$Amount\ of\ juice = 2\frac{1}{2}\ quarts = \frac{5}{2}\ quarts$

$Amount\ of\ ginger = 6\frac{2}{3}\ quarts = \frac{20}{3}\ quarts$

Now find the ratio

$Amount\ of\ juice : Amount\ of\ ginger = \frac{5}{2} : \frac{20}{3}\\\\Amount\ of\ juice : Amount\ of\ ginger = \frac{5 \times 3}{2 \times 3} : \frac{20 \times 2}{3 \times 2}\\\\Amount\ of\ juice : Amount\ of\ ginger = \frac{15}{6} : \frac{40}{6}\\\\Amount\ of\ juice : Amount\ of\ ginger = 15 : 40\\\\In\ simplest\ form\\\\Amount\ of\ juice : Amount\ of\ ginger = 3 : 8$

Thus ratio of the amount of juice to the amount of ginger in simplest form is 3 : 8