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26 September, 11:05

Jeff and Nina each start a child-care service. Jeff spends $50 on supplies and plans to charge $10 per hour. Nina spends $30 on supplies and plans to charge $8 per hour. How many hours will Jeff and Nina have to work in order to earn the same amount of money?

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  1. 26 September, 12:17
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    Let x be the time in hour and y represents the total amount of money.

    As per the given statement:

    Jeff spends $50 on supplies and plans to charge $10 per hour.

    ⇒ y = 10x - 50 ... [1]

    Also, it is given that Nina spends $30 on supplies and plans to charge $8 per hour

    ⇒ y = 8x - 30 ... [2]

    To find the number of hours will Jeff and Nina have to work in order to earn the same amount of money.

    equate [1] and [2] we get;

    10x - 50 = 8x - 30

    Add both sides 50 we get;

    10x - 50 + 50 = 8x - 30+50

    Simplify:

    10x = 8x + 20

    Subtract 8x from both sides we get;

    2x = 20

    Divide both sides by 2 we get;

    x = 10 hours.

    Therefore, 10 hours will Jeff and Nina have to work in order to earn the same amount of money
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