Question

You mix 1 and one half quarts of juice with 3 and three fourths 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

Answer:

2 : 5 is the ratio of the amount of juice to the amount of ginger ale.

Step-by-step explanation:

Given:

You mix 1 and one half quarts of juice with 3 and three fourths quarts of ginger ale to make fruit punch.

Now, to get the ratio of the amount of juice to the amount of ginger ale.

Amount of juice = $1\frac{1}{2}=\frac{3}{2} \ quarts.$

Amount of ginger ale = $3\frac{3}{4}=\frac{15}{4} \ quarts.$

So, to get the ratio of amount of juice to amount of ginger ale:

$\frac{3}{2} :\frac{15}{4}$

$=\frac{\frac{3}{2}}{\frac{3}{4}}$

$=\frac{3}{2} \times \frac{4}{15}$

$=\frac{12}{30}$

On simplifying it:

$=\frac{2}{5}$

$=2:5.$

Therefore, 2 : 5 is the ratio of the amount of juice to the amount of ginger ale.