Question

You are running a fuel economy study. One of the cars you find is blue. It can travel 31(1)/(2) miles on 1(1)/(4) gallons of gasoline. Another car is red. It can travel 20(4)/(5) miles on (4)/(5) gallon of gasoline. What is the unit rate for miles per gallon for each car?

Answer 1

The blue car has a fuel economy of 25 miles per gallon, and the red car has a fuel economy of 26 miles per gallon.

Step-by-step explanation:

To find the unit rate for miles per gallon for each car, we will calculate how many miles each car can travel on one gallon of gasoline.

For the blue car, which can travel 311/2 miles on 11/4 gallons of gasoline, the unit rate in miles per gallon is calculated as:

(311/2 miles) ÷ (11/4 gallons) = 25 miles per gallon.

For the red car, which can travel 204/5 miles on 4/5 gallon of gasoline, the unit rate in miles per gallon is calculated as:

(204/5 miles) ÷ (4/5 gallon) = 26 miles per gallon.

Thus, the blue car's fuel economy is 25 mpg and the red car's fuel economy is 26 mpg.