Algebra Word Problem Help?

amyamy
in Education & Reference

A family has two cars. During one particular week, the first car 35 consumed gallons of gas and the second consumed 30 gallons of gas. The two cars drove a combined total of 2250 miles, and the sum of their fuel efficiencies was 70 miles per gallon. What were the fuel efficiencies of each of the cars that week?

Thank You!!

Comments

  • ranjankarranjankar

    Let the efficiency of first car be x miles per gallon

    THEN , the efficiency of second car WILL BE ( 70-x) miles per gallon

    Distance = 35x + 30 ( 70-x) = 2250

    35x + 2100 -30x = 2250

    5x = 150

    x = 30

    ANSWER First car = 30 miles per gallon Second car = 40 miles per gallon

    CHECK

    35 X 30 = 1050 miles

    40 X 30 = 1200 miles

    ADD = 2250 miles

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