Problema Solution
Family has two cars one has a fuel efficiency of 40mpg the other has a fuel efficiency of 25mpg in one week both traveled combined 2075 miles with a gas consumption of 65 gallons how many gallons did each vehicle consume?
Answer provided by our tutors
let 'x' and 'y' represent the amount of gallons each of the vehicle consumed
x + y = 65
40x + 25y = 2075 divide both sides by 5
8x + 5y = 417
by solving the system of equations
x + y = 65
8x + 5y = 417
we find
x = 30.7 gal
y = 34.3 gal
click here to see the step by step solution of the system of equations
One vehicle consumed 30.7 gal and the other consumed 34.3 gal of fuel.