Question 1180010
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A family has two cars. the first car has a fuel efficiency of 25 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 1325 miles, 
for a gas consumption of 65 gallons. How many gallons were consumed by each of the two cars that week?
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<pre>
Let x be the number of gallons were consumed by the first car.

Then the number of gallons consumed by the second car is  (65-x).


The distance traveled by the first car is 25x miles.

The distance traveled by the second car is 15*(65-x) miles.


The total distance equation is

    25x + 15*(65-x) = 1325  miles.


From this equation, express x and calculate

    x = {{{(1325 - 15*65)/(25-15)}}} = 35.


<U>ANSWER</U>.  The first car consumed 35 gallons of fuel.  The second car consumed the rest (65-35) = 30 gallons.
</pre>

Solved.


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&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/word/travel/Miles-per-gallon-effectiveness-and-moving-car.lesson>Miles per gallon effectiveness and moving car</A>

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