SOLUTION: A family has two cars. The first car has a fuel efficiency of 40 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 1168128: A family has two cars. The first car has a fuel efficiency of 40 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 1575 miles, for a total gas consumption of 45 gallons. How many gallons were consumed by each of the two cars that week?
Found 2 solutions by ikleyn, josgarithmetic:
Answer by ikleyn(52785) (Show Source):
You can put this solution on YOUR website!
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A family has two cars. The first car has a fuel efficiency of 40 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 1575 miles, for a total gas consumption of 45 gallons.
How many gallons were consumed by each of the two cars that week?
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Let x be the number of gallons were consumed by the first car. Then the number of gallons consumed by the second car is (45-x). The distance traveled by the first car is 40x miles. The distance traveled by the second car is 25*(45-x) miles. The total distance equation is 40x + 25*(45-x) = 1575 miles. From this equation, express x and calculate x = = 30. ANSWER. The first car consumed 30 gallons of fuel. The second car consumed the rest (45-30) = 15 gallons.

Solved.

Answer by josgarithmetic(39617) (Show Source):
You can put this solution on YOUR website!

v, the gallons that first car used fuel efficency volume miles Firstcar 40 v 40v Secondcar 25 45-v 25(45-v) Totals 45 1575

First solve for first car's fuel volume used v, in gallons:

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