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 = [tex]1\frac{1}{2}=\frac{3}{2} \ quarts.[/tex]
Amount of ginger ale = [tex]3\frac{3}{4}=\frac{15}{4} \ quarts.[/tex]
So, to get the ratio of amount of juice to amount of ginger ale:
[tex]\frac{3}{2} :\frac{15}{4}[/tex]
[tex]=\frac{\frac{3}{2}}{\frac{3}{4}}[/tex]
[tex]=\frac{3}{2} \times \frac{4}{15}[/tex]
[tex]=\frac{12}{30}[/tex]
On simplifying it:
[tex]=\frac{2}{5}[/tex]
[tex]=2:5.[/tex]
Therefore, 2 : 5 is the ratio of the amount of juice to the amount of ginger ale.