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 40 miles per gallon of gas. During one particular week, the two cars went a combined total of 1800 miles, for a total gas consumption of 50 gallons. How many gallons were consumed by each of the two cars that week?

Question

Mathematics

Lesly Holland

17 June, 03:05

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 40 miles per gallon of gas. During one particular week, the two cars went a combined total of 1800 miles, for a total gas consumption of 50 gallons. How many gallons were consumed by each of the two cars that week?

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Answers (2)

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Raiden Gregory · Answer 1

One car 40 miles / gallon

other car 30 miles/gallon

...

Total miles = 165

gas used = 45 gallons

...

let first car drive x miles

second car drive y miles

...

x/40 + y/30 = 45

(30x+40y) / 30*40 = 45

30x+40y = 45*40*30

30x+40y=54,000

Tobias Wilkins · Answer 2

30x+40 (50-x) = 1800

Solve for x

X=20 for the first car

50-20=30 for the second car