SOLUTION: A family has two cars. The first car has a fuel efficiency of 20 miles per gallon of gas and the second has a fuel efficiency of 25 miles per gallon of gas. During one particular w

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Question 638453: A family has two cars. The first car has a fuel efficiency of 20 miles per gallon of gas and the second has a fuel efficiency of 25 miles per gallon of gas. During one particular week, the two cars went a combined total of 925 miles, for a total gas consumption of 40 gallons. How many gallons were consumed by each of the two cars that week?
Answer by lwsshak3(11628) About Me  (Show Source):
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A family has two cars. The first car has a fuel efficiency of 20 miles per gallon of gas and the second has a fuel efficiency of 25 miles per gallon of gas. During one particular week, the two cars went a combined total of 925 miles, for a total gas consumption of 40 gallons. How many gallons were consumed by each of the two cars that week?
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let x=gas consumed by 1st car
40-x =gas consumed by 2nd car
distance traveled=fuel efficiency*gas consumed
..
20x+25(40-x)=925
20x+1000-25x=925
5x=75
x=15
40-x=25
gas consumed by 1st car=15 gal
gas consumed by 2nd car=25 gal