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26 January, 06:12

Max has been offered positions by two car companies. The first company pays a salary of $12,500 plus commission of $1500 for each car sold. The second company pays a salary of $17,500 plus a commission of $500 per car sold. How many cars would need to be sold to make the total pay the same

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  1. 26 January, 06:24
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    5 Cars

    Step-by-step explanation:

    Let the number of cars to be sold to make the total pay equal be x.

    The first company pays a salary of $12,500 plus commission of $1500 for each car sold.

    Algebraically written as: 12500+1500x

    The second company pays a salary of $17,500 plus a commission of $500 per car sold.

    Algebraically written as: 17500+500x

    Equating both sides

    12500+1500x=17500+500x

    Collect like terms

    1500x-500x=17500-12500

    1000x=5000

    Divide both sides by 1000

    x=5

    Therefore, when 5 cars are sold, the total pay would be the same.
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