Question

Please Help!

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 30 miles per gallon of gas. During one particular week, the two cars went a combined total of 1550 miles, for a total gas consumption of 55 gallons. How many gallons were consumed by each of the two cars that week?

First car: ___ gallons
Second Car: ___ Gallons

Answer 1

first car is x
second car is y
25x+30y=1550
x+y=55
Multiply the second equation by -25 for elimination method to cancel out x
-25x-25y=-1375
Add the two equations
5y=175
y=35
Plug this value into the second equation
x+35=55
x=20

Final answers:
First car=20 gallons
Second car=35 gallons