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26 February, 14:01

Kim is a medical supplies salesperson. Each month she receives a 5% commission on all her sales of medical supplies up to $20,000 and 8.5% on her total sales over $20,000. Her total commission for May was $3,975. What were her sales for the month of May?

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  1. 26 February, 15:06
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    Answer: her sales for the month of May is $55000

    Step-by-step explanation:

    Let x represent her total sales for the month of May.

    Each month she receives a 5% commission on all her sales of medical supplies up to $20,000. This means that for her first sales worth $20000, she earns a commission of

    5/100 * 20000 = 1000

    She also earns 8.5% on her total sales over $20,000. This means that for sales over $20000, she earns

    8.5/100 (x - 20000) = 0.085x - 1700

    Her total commission for May was $3,975. The expression becomes

    1000 + 0.085x - 1700 = 3975

    0.085x = 3975 + 1700 - 1000

    0.085x = 4675

    x = 4675/0.085

    x = 55000
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