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31 August, 14:16

A concession stand sells apple cider for $3.35 a cup and donuts for $2.45 each, on Saturday the stand sold 126 items and made $362.70 how many cups of apple cider did the stand sell

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Answers (2)
  1. 31 August, 15:02
    0
    The number of cups of apple cider sold was 60 cups

    Step-by-step explanation:

    We will develop equations to solve this problem.

    Let a = price for a cup of apple cider in dollars

    Let b = price for a donut in dollars

    Let x = number for cups of apple cider sold

    Let y = number of donuts sold

    Let z = number of items sold on the day = 126 items

    Let v = total money made = $362.70

    Lets write two equations. One in terms of the amount of items sold of cups of apple cider and donuts, and one in terms of how much money was made for selling cups of apple cider and donuts.

    z = x + y

    x = z - y (1)

    v = ax + by (2)

    we substitute equation 1 in to equation 2

    v = a (z-y) + by = az - ay + by = az + y (b-a)

    solve for y

    y = (v-az) / (b-a) = (362.70 - 3.35*126) / (2.45-3.35) = 66 donuts were sold

    therefore x = z-y = 126-66 = 60 cups of apple cider were sold
  2. 31 August, 16:27
    0
    52 cups.

    3.35 times 52 equals 174.20

    2.45 times 77 equals 188.60

    So 52 cups of apple cider were sold in total.
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