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-   -   I need to find out how to setup this equation. Thanks (https://www.askmehelpdesk.com/showthread.php?t=373417)

  • Jul 8, 2009, 04:44 PM
    rakkasan00
    I need to find out how to setup this equation. Thanks
    I am in a business math course and here is the question. Staples sells cartons of pens ($10) and rubber bands ($6). Leona ordered a total of 26 cartons for $232. Hint: Let P = Pens.

    How many of cartons of each did Leona order?
  • Jul 8, 2009, 05:38 PM
    Perito

    P = cases of pens

    R = cases of rubber bands

    Total cost = $232

    Total Cost = cases of Pens x cost per case of pens + cases of bands x cost per case of bands

    (equation 1)

    The total number of cases is 26

    (equation 2)

    We now have two equations, and two unknowns (P & R). Since the equations are independent, we know we will have a unique solution.

    Can you take it from there?

    Hint: one way to solve it is to multiply both sides of Equation 2 by -6 and add the two equations.

    I think Leona paid too much. We've got a guy here in town who sells office products for a lot less than that. :rolleyes:
  • Jul 8, 2009, 06:45 PM
    rakkasan00
    Quote:

    Originally Posted by Perito View Post
    P = cases of pens

    R = cases of rubber bands

    Total cost = $232

    Total Cost = cases of Pens x cost per case of pens + cases of bands x cost per case of bands

    (equation 1)

    The total number of cases is 26

    (equation 2)

    We now have two equations, and two unknowns (P & R). Since the equations are independent, we know we will have a unique solution.

    Can you take it from there?

    Hint: one way to solve it is to multiply both sides of Equation 2 by -6 and add the two equations.

    I think Leona paid too much. We've got a guy here in town who sells office products for a lot less than that. :rolleyes:


    Lol thank you very much!

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