word problem

Question

In? 2010, Car A was the highest mileage car available in a country. Its estimated highway mileage was 3 miles per gallon? (mpg) more than Car B. If the two cars could travel a total of 93 miles on a gallon of? gasoline, find the mileage of each car.
The mileage of Car A is ____ mpg and Car B is ____ mpg.

Answer 1

Let A = the estimated highway mileage rate of Car A (in mpg)

Let B = the estimated highway mileage rate of Car B (in mpg)

 

A = B +3

 

A + B = 93

(B + 3) + B = 93

2B + 3 = 93

2B = 93 - 3

     = 90

B = 45 mpg

 

A = B + 3

   = (45) + 3

   = 48 mpg