Problem page 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 20 miles per gallon of gas. during one particular week, the two cars went a combined total of 1100 miles, for a total gas consumption of 45 gallons. how many gallons were consumed by each of the two cars that week?

Question

Mathematics

Emmett Rhodes

16 March, 21:10

Problem page 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 20 miles per gallon of gas. during one particular week, the two cars went a combined total of 1100 miles, for a total gas consumption of 45 gallons. how many gallons were consumed by each of the two cars that week?

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Answers (1)

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Jefferson Pope · Answer 1

You will have 2 equations.

30x+20y=1100

and

x+y=45

by putting it into standard form

- (30/20) x+55=y

you can now solve finding the answer to be 20 for x and 25 for y.

Plug it into the original equation to find it correct and then plug it into x+y

20+25=45

30*20+25*20=1100