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Thread: Find Total Sales

  1. #1
    Super Member harpazo's Avatar
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    Find Total Sales

    Jessie works as a real state agent. She earns 35,000 plus 2 percent commission on the sales above 3 million dollars. In a particular month, she earns 35,000. How much was her total sales?

    My Effort:

    Let x be her total sales.

    35,0000=0.02(x-3,000,000)+15,000
    35,0000-15,000=0.02(x-3,000,000)
    20,000=0.02(x-3,000,000)

    Multiplying both sides by 1/0.02 or 50 (Axiom of Multiplication) to maintain the equality, I got:

    (1/0.02)(20,000)=(1/0.02)(0.02)(x-3,000,000)
    1,000,000=(1)(x-3,000,000)

    1,000,000=x-3,000,000
    3,000,000+1,000,000=x
    x= 4,000,000 dollars

    Thus, Jessie's total sales is 4,000,000, dollars. Yes?
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  2. #2
    MHF Contributor MarkFL's Avatar
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    Re: Find Total Sales

    I think you mean:

    She earns 15,000 plus 2 percent commission on the sales above 3 million dollars. Apparently, her commission is only calculated as 2% of the amount in excess of 3000000 and not on the entire sales iff they exceed 3000000. The problem statement should have made that more clear, in my opinion. But, it is the only interpretation that leads to a solution that makes sense.

    We see that her earnings are 20K more than 15K, and so we know 2% of her sales over 3M is 20K:

    0.02(S - 3000000) = 20000

    S - 3000000 = 1000000

    S = 4000000
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  3. #3
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    Re: Find Total Sales

    Quote Originally Posted by harpazo View Post
    Jessie works as a real state agent. She earns 35,000
    In your work below you use 15,000, not 35,000.
    plus 2 percent commission on the sales above 3 million dollars. In a particular month, she earns 35,000. How much was her total sales?

    My Effort:

    Let x be her total sales.

    35,0000=0.02(x-3,000,000)+15,000
    35,0000-15,000=0.02(x-3,000,000)
    20,000=0.02(x-3,000,000)

    Multiplying both sides by 1/0.02 or 50 (Axiom of Multiplication) to maintain the equality, I got:

    (1/0.02)(20,000)=(1/0.02)(0.02)(x-3,000,000)
    1,000,000=(1)(x-3,000,000)

    1,000,000=x-3,000,000
    3,000,000+1,000,000=x
    x= 4,000,000 dollars

    Thus, Jessie's total sales is 4,000,000, dollars. Yes?
    Thanks from harpazo
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  4. #4
    Super Member harpazo's Avatar
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    Re: Find Total Sales

    Quote Originally Posted by MarkFL View Post
    I think you mean:

    She earns 15,000 plus 2 percent commission on the sales above 3 million dollars. Apparently, her commission is only calculated as 2% of the amount in excess of 3000000 and not on the entire sales iff they exceed 3000000. The problem statement should have made that more clear, in my opinion. But, it is the only interpretation that leads to a solution that makes sense.

    We see that her earnings are 20K more than 15K, and so we know 2% of her sales over 3M is 20K:

    0.02(S - 3000000) = 20000

    S - 3000000 = 1000000

    S = 4000000
    Ok. I see my error.
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