Question 1189914
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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 = {{{(1975- 25*65)/(35-25)}}} = 35.


<U>ANSWER</U>.  First car consumed 35 gallons.  The second car consumed the rest  65 - 35 = 30 gallons.


<U>CHECK</U>.   35*35 + 25*30 = 1975  miles, the combined distance.   ! Correct !
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Solved.