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9 October, 01:58

Suri makes $15 per hour and gets a weekly bonus of $25. Juan makes $14 per hour and gets a weekly bonus of $50. Is it possible for Suri and Juan to make the same amount of wages, y, by working the same number of hours, x, in one week? Use the drop-down menus to explain your answer.

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  1. 9 October, 01:59
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    Yes. Suri and Juan can make the same amount of wages by working 25 hours in one week.

    Step-by-step explanation:

    Let each of them work x hours per week.

    Suri makes $15 per hour, so in x hours Suri will make $ 15x. The total wages per week for Suri will be:

    Total Wages = y = 15x + Bonus = 15x + 25

    Juan makes $14 per hour, so in x hours Juan will make $ 14x. The total wages per week for Juan will be:

    Total Wages = y = 14x + Bonus = 14x + 50

    If they will make the same wages, their wages must be equal, i. e.

    15x + 25 = 14x + 50

    15x - 14x = 50 - 25

    x = 25

    This result shows us that if Suri and Juan work for 25 hours per week they will make the same amount of wages.
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