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26 November, 02:07

The equation for this question.

A company bought 34 boxes of cookies for a total of $130. The boxes of cookies cost either $3 per box (for one brand) or $5 per box (for a different brand.) How many of the $3 boxes did the company buy?

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  1. 26 November, 02:19
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    We can solve this by setting up a system of equations. We will use x for the $3 boxes and y for the $5 boxes:

    x+y=34

    3x+5y=130

    We can use the elimination method by multiplying the first equation by 3:

    3x+3y=102

    3x+5y=130

    0x-2y=-28

    y=14

    We can then plug this number back into one of the original equations to solve for x:

    x+14=34

    x=20

    We can check these answers by plugging them into the equations:

    20+14=34

    34=34

    (3) (20) + (5) (14) = 130

    60+70=130

    130=130

    Therefore, there are 20 of the $3 boxes, since we originally said that x would be the $3 boxes.
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