Respuesta :
Answer:
The vehicle can travel 12 miles per gallon of gasoline
Step-by-step explanation:
Proportions
A vehicle uses 1 1/8 gallons of gasoline to travel 13 1/2 miles.
It's required to find the rate of miles per gallon of gasoline consumption of the vehicle.
First, we convert all the mixed fractions to improper fractions:
[tex]1\frac{1}{8}=1+\frac{1}{8}=\frac{9}{8}[/tex]
[tex]13\frac{1}{2}=13+\frac{1}{2}=\frac{27}{2}[/tex]
The rate of consumption is:
[tex]\displaystyle \frac{\frac{27}{2}}{\frac{9}{8}}[/tex]
Operating:
[tex]\displaystyle \frac{\frac{27}{2}}{\frac{9}{8}}=\frac{27}{2}\cdot\frac{8}{9}=12[/tex]
The vehicle can travel 12 miles per gallon of gasoline