Problema Solution
A family has two cars. The first car has a fuel efficiency of40
miles per gallon of gas and the second has a fuel efficiency of20
miles per gallon of gas. During one particular week, the two cars went a combined total of 1600
miles, for a total gas consumption of60
gallons. How many gallons were consumed by each of the two cars that week
Answer provided by our tutors
Let
x = the gallons that the first car consumed
y = the gallons that the second car consumed
The two cars went a combined total of 1600 miles:
40x + 20y = 1600
Total gas consumption is 60 gallons:
x + y = 60
We have the following system of equations:
40x + 20y = 1600
x + y = 60
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click here to see the system of equations solved for x and y
........
x = 20 gal
y = 40 gal
First car consumed 20 gallons of gas.
Second car consumed 40 gallons of gas.