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28 July, 17:51

Earl is ordering supplies. Yellow paper costs $4.00 per ream while white paper costs $7.50 per ream. He would like to order 100 reams total, and has a budget of $484. How many reams of each color should he order?

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  1. 28 July, 20:06
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    Earl should order 76 yellow paper reams and 24 white paper reams.

    Step-by-step explanation:

    This problem can be computed as system of equations.

    I will say that x is the number of yellow paper reams and that y is the number of white paper reams.

    Earl will order 100 reams in total, so

    x + y = 100

    He has a budget of $484, so this is what he is going to spend. Each yellow paper ream (x) costs $4.00 and each white paper ream costs $7.50, so we know that

    4x + 7.5y = 484

    To know how many reams of each color should he order, we need to solve the following system of equations

    1) x + y = 100

    2) 4x + 7.5y = 484

    I am going to write x as a function of y in equation 1), and then replace it in equation 2).

    x = 100-y

    Now replacing in equation 2)

    4 (100-y) + 7.5y = 484

    400 - 4y + 7.5y = 484

    3.5y = 84

    y = 24.

    Returning to equation 1)

    x = 100-y = 100-24 = 76

    So, Earl should order 76 yellow paper reams and 24 white paper reams.
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