A family has two cars. The first car has a fuel efficiency of 25 miles per gallon of gas and the second has a fuel efficiency of 40 miles per gallon of gas. During one particular week, the two cars went a combined total of 2000 miles, for a total gas consumption of 65 gallons. How many gallons were consumed by each of the two cars that week?

1 answer

Let the two cars' distances be
first: x
second: y

Since mi/gal * gal = mi,
x + y= 2000
x/25 + y/40 = 65