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 1475 miles, for a total gas consumption of 50 gallons. How many gallons were consumed by each of

the two cars that week?

Question

Mathematics

Spicy

18 March, 12:57

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 1475 miles, for a total gas consumption of 50 gallons. How many gallons were consumed by each of

the two cars that week?

+1

Answers (2)

Know the Answer?

Brisa Edwards · Answer 1

Step-by-step explanation:

x = first car, y = second car

40x + 25y = 1475

x + y = 50 ... x = 50 - y

40 (50 - y) + 25y = 1475

2000 - 40y + 25y = 1475

-40y + 25y = 1475 - 2000

-15y = - 525

y = - 525 / - 15

y = 35 gallons <== = second car

x + y = 50

x + 35 = 50

x = 50 - 35

x = 15 gallons <= = first car

Fernanda Bailey · Answer 2

15 gallons by car 1

35 gallons by car 2

600 miles on car 1

875 miles on car 2