Need algebra help for solving a value mixture problem using a system of linear equations

timer Asked: Dec 18th, 2015
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Question Description

A family has 2 cars.  The 1st has a fuel efficiency of 15 mpg the 2nd 35 mpg.  During one week, the cars went a combined total of 1450 miles, for a total gas  consumption of 50 gals. How many gallons were used consumed by each car that week?

Tutor Answer

School: UC Berkeley

Thank you for the opportunity to help you with your question!

family has 2 cars

1st fuel efficiency=15 mpg

2nd fuel efficiency=35 mpg

total distance=1450 miles

total consumption=50 gal

lets get the gallons consumed by 1st car as x

then the gallons consumed by 2nd car=50-x

so we can write

total distance=15*x+(50-x)35




x=15 g

so 50-x=35 g

the gas  consumed by 1st car=15 gallons

the gas  consumed by 2nd car=35 gallons

Please let me know if you need any clarification. I'm always happy to answer your questions.

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