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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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  1. 17 June, 03:23
    0
    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
  2. 17 June, 04:23
    0
    30x+40 (50-x) = 1800

    Solve for x

    X=20 for the first car

    50-20=30 for the second car
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