Question

A vehicle uses 1 7/8 gallons of gasoline to travel 56 1/4 miles. At this rate, how many miles can the vehicle travel per gallon of gasoline.

Answer 1

Answer:

$30\ miles$

Step-by-step explanation:

First convert mixed number to an improper fractions

$1\frac{7}{8}=\frac{1*8+7}{8}=\frac{15}{8} \ gallons$

$56\frac{1}{4}=\frac{56*4+1}{4}=\frac{225}{4} \ miles$

By proportion

$\frac{(225/4)}{(15/8)}\frac{miles}{gallons} =\frac{x}{1}\frac{miles}{gallon} \\ \\x=(225*8)/(4*15)\\ \\x= 30\ miles$