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 20 miles per gallon of gas. During one particular w
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Question 737727: 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 20 miles per gallon of gas. During one particular week, the two cars went a combined total of 1725 miles, for a total gas consumption of 60 gallons. How many gallons were consumed by each of the two cars that week? Answer by josgarithmetic(39617) (Show Source):
You can put this solution on YOUR website! Uniform Rates, based on fuel efficiency, units for rates being MILES PER GALLON. The basic relationship equation is r*v=d, where r is the fuel efficiency, v is the volume of fuel, d is the miles.
Create and fill information into a table:
Let x=gallons of fuel used car 1
Let y=gallons of fuel used car 2
Which Car__________rate(mgp)_________fuel volume(gallons)_________distance
FirstCar___________35________________x____________________________35x
SecondCar__________20________________y____________________________20y
TOTAL_______________________________60____________________________1725
The equations to use will be the system:
and
Creating and developing all that was the hard part. Now, just solve the system for x and y.
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