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 25 miles per gallon of gas. During one particula

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Question 1189914: 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 25 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?
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39617) (Show Source):
You can put this solution on YOUR website!

FUEL EFF. VOLUME DISTNANCES firstcar 35 v 35v secondcar 25 65-v 25(65-v) all 65 1975

You can figure out what this means and what to do.

Answer by ikleyn(52779) (Show Source):
You can put this solution on YOUR website!
.
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 25 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?
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Let x = # gallons consumed by one car. Then the number of gallons consumed by the other car is (65-x). The combined traveled distance equation is 35*x + 25*(65-x) = 1975 miles. From this equation, x = = 35. ANSWER. First car consumed 35 gallons. The second car consumed the rest 65 - 35 = 30 gallons. CHECK. 35*35 + 25*30 = 1975 miles, the combined distance. ! Correct !

Solved.