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1 March, 06:19

A ski chalet offers 2 weekend packages. one package provides 2 nights and 3 meals for$280. the other provides 2 nights and 5 meals for $320. write and solve a system of equations to find the cost per night and per meal.

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  1. 1 March, 06:47
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    1st formula 2n + 3m = 280

    2nd formula 2n + 5m = 320

    rearrange 1st formula to equal n:

    2n = - 3m + 280

    n = - 3/2 m + 140

    rearrange 2nd formula to equal n:

    2n = - 5m + 320

    n = - 5/2m + 160

    so now you have

    -3/2m + 140 = - 5/2m + 160

    Rearrange to become:

    -3/2m + 5/2m = 160 - 140

    m = 20

    Now place 20 into the very 1st equation in place of the letter m

    2n + 3 (20) = 280

    2n + 60 = 280

    2n = 220

    n = 110

    so it costs $110 per night, $20 per meal
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