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28 October, 06:29

A car dealership sells SUVs and passenger cars. For a recent year, 80 more SUVs were sold than passenger cars. If a total of 510 vehicles were sold, determine the number of each type of vehicle sold.

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  1. 28 October, 09:45
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    295 SUVs were sold, and 215 passenger vehicles.

    Step-by-step explanation:

    Let s and p represent the number of SUVs and p the number of passenger cars.

    Then s = p + 80 and s + p = 510.

    Substitute p + 80 for s in the second equation, obtaining:

    p + 80 + p = 510, or:

    2p = 430

    Dividing both sides by 2 isolates p: p = 215.

    Since s = p + 80, we add 80 to 215 here, obtaining s = 295.

    295 SUVs were sold, and 215 passenger vehicles.
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