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 15 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 35 miles per gallon of gas and the second has a fuel efficiency of 15 miles per gallon of gas. During one particular w      Log On


   

Question 1117934: 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 15 miles per gallon of gas. During one particular week, the two cars went a combined total of 1225 miles, for a total gas consumption of 55 gallons. How many gallons were consumed by each of the two cars that week?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
R, fuel efficiency
V, volume of fuel
D, distance
RV=D

                Fuel Efficiency      Volume         Distance

FirstCar          35                  v              35v

SecondCar         15                 55-v           15(55-v)

Totals                                 55             1225

v, the unknown volume of fuel the first car used

highlight_green%2835v%2B15%2855-v%29=1225%29
Solve this equation and then evaluate 55-v.

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POSSIBLE STEPS
7v%2B3%2855-v%29=245
7v%2B165-3v=245
4v=245-165
4v=80
highlight%28v=20%29-----------first car
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highlight%2855-v=35%29---------second car