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
25
miles per gallon of gas. During one particular week, the two cars went a combined total of
2050
miles, for a total gas consumption of
75
gallons. How many gallons were consumed by each of the two cars that week?

Question

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 
25
 miles per gallon of gas. During one particular week, the two cars went a combined total of 
2050
 miles, for a total gas consumption of 
75
 gallons. How many gallons were consumed by each of the two cars that week?

anonymous · Answer

I think it is 37.5 gallons

mathstudent55 · Answer

Car A does 30 mpg and used x gallons of gas.
Car B does 25 mpg and used y gallons of gas.

We are told that the total gas used is 75 gallons, so we have
x + y = 75

If we multiply the gas mileage by the gallons of each car, we find the miles each car traveled. The total miles traveled is 2050.
30 * x + 25 * y = 2050

We need to solve the system of equation:

x + y = 75
30x + 25y = 2050