Problema Solution
A family has two cars. The first car has a fuel efficiency of 35 miles per gallon of gas and the second has a fuel efficiency of 30 miles per gallon of gas. During one particular week, the two cars went a combined total of 1450 miles, for a total gas consumption of 45 gallons. How many gallons were consumed by each of the two cars that week?
First car gallons:
2nd car gallons:
Answer provided by our tutors
let
x = the gallons that the first car consumed
y = the gallons that the second car consumed
during one particular week, the two cars went a combined total of 1450 miles
35x + 30y = 1450
total gas consumption is 45 gallons
x + y = 45
by solving the system of equations
35x + 30y = 1450
x + y = 45
we find
x = 20 gal
y = 25 gal
click here to see the step by step solution of the system of equations
First car gallons: 20
2nd car gallons: 25