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 35 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 55 gallons. How many gallons were consumed by each of the two cars that week?

Question
Asked Mar 16, 2019
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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 35 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 55 gallons. How many gallons were consumed by each of the two cars that week? 

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Expert Answer

Step 1

To convert the given word problem into equations and determine the unknowns (fuel consumption)

Step 2

Let x, y represent the consumptions of Car 1 and Car 2 respectively. The given data yield the equations shown.

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Step 3

Solve the equations by...

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Algebra

Equations and In-equations

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