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Math Help - Amount of Weekly Sales for 2 Salespersons?

  1. #1
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    Amount of Weekly Sales for 2 Salespersons?

    Salesperson A's compensation for any week is $360 plus 6% of the portion of A's total sales above $1,000 for that week. Salesperson B's compensation for any week is 8% of B's total for that week. For what amount of total weekly sales would both salespeople earn the same compensation?

    Last one for today:-)
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  2. #2
    Senior Member ecMathGeek's Avatar
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    Quote Originally Posted by thecapaccino View Post
    Salesperson A's compensation for any week is $360 plus 6% of the portion of A's total sales above $1,000 for that week. Salesperson B's compensation for any week is 8% of B's total for that week. For what amount of total weekly sales would both salespeople earn the same compensation?

    Last one for today:-)
    From this we are given 2 equations (I assume you know how to solve a system of equations):

    For sales person A: y = 360 + .06(x - 1000)
    For sales person B: y = .08x

    Now we need to find out where these equation are equal. Setting them equal (substituting y for y) we get:

    360 + .06(x - 1000) = .08x
    360 + .06x - 60 = .80x
    300 + .06x = .80x
    300 = .02x
    x = 300/.02 = $15000 in sales for each.

    y = .08x = .08(15000) = $1200 in compensation for each.
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  3. #3
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    Got It.

    I got stuck on the Salesperson A's formula. When it says that it is 6% above total sales of $1000...I did not write that as x-1000....

    But all is clear now.

    Cheers
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