SOLUTION: 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 35 miles per gallon of gas. During one particular w

Algebra ->  Equations -> SOLUTION: 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 35 miles per gallon of gas. During one particular w      Log On


   

Question 739854: 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 35 miles per gallon of gas. During one particular week, the two cars went a combined total of 1975 miles, for a total gas consumption of 65 gallons. How many gallons were consumed by each of the two cars that week?
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
Uniform rates application. Rate is fuel efficiency in miles per gallon of fuel. If rate is r, v is volume or gallons of fuel, d is distance in miles, then we can use r%2Av=d.

Let m = gallons of fuel first car used
Let n = gallons of fuel second car used

Car___________rate____________volume_____________distance
First_________25______________m__________________25m
Second________35______________n__________________35n
TOTAL_________________________65________________1975

Can you find the two equations to create for a system, and then solve the equation system for m and n?