SOLUTION: A family has two cars. The first car has a fuel efficiency of 30 miles per gallon of gas and the second has a fuel efficiency of 35 miles per gallon of gas. During one particula

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Question 978777: A family has two cars. The first car has a fuel efficiency of
30 miles per gallon of gas and the second has a fuel efficiency of
35 miles per gallon of gas. During one particular week, the two cars went a combined total of 1675 miles, for a total gas consumption of 50 gallons. How many gallons were consumed by each of the two cars that week?

Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
R, fuel efficiency MILES per GALLON, D, MILES, V, volume of fuel, related as RD=V.


Let x be distance that first car went;
let y be distance that second car went;
This data table shows all the essential information:


_________________rate______________distance_____________fuel volume
first____________30_________________x___________________30x
secnd____________35_________________y___________________35y
Totals_____________________________1675_________________50


You have this system of equations:
system%28x%2By=1675%2C30x%2B35y=50%29