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

anonymous · Answer

wait do you have any numbers such as how much mpg each car has and what's the total of miles?

nyasia · Answer

omg im sorry i copied the question wrong. Here it is: 
A family has two cars. The first car has a fuel efficiency of 40 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  1775 miles, for a total gas consumption of 50 gallons. How many gallons were consumed by each of the two cars that week?

nurali · Answer

1st car DATA:
rate = 40 mi/gal ; # of gallons = x gal ; distance = 40x miles

2nd car DATA:
25 mi/gal ; # of gallons = 50-x gal ; distance = 25(50-x) miles

Equation:
40x + 25*50-25x = 1775

15x = -1250+1775

x = 35 gallons (gas consumed by 1st car)
50-x = 15 gallons (gas consumed by 2nd car)