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14 May, 00:22

Emily went to the movie theater for her birthday. A mix of adults and children attended, making a total of 22 people. Each adult ticket was $9 and each child's ticket was $5.50. Is the total cost for the party was $125.5, then how many adults and how many children attended

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  1. 14 May, 04:16
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    13 children and 9 adults if the total cost is $152.5

    Step-by-step explanation:

    Let x children and y adults

    x + y = 22 (1)

    5.5x + 9y = 125.5 (2)

    y = 22 - x

    5.5x + 9 (22 - x) = 125.5

    5.5x + 198 - 9x = 125.5

    -3.5x = 125.5 - 198

    -3.5x = - 72.5

    x = 20.7

    y = 22 - x = 1.3

    Which is not possible

    If the total cost is $152.5

    x + y = 22 (1)

    5.5x + 9y = 152.5 (2)

    y = 22 - x

    5.5x + 9 (22 - x) = 152.5

    5.5x + 198 - 9x = 152.5

    -3.5x = 152.5 - 198

    -3.5x = - 45.5

    x = 13

    y = 22 - 13 = 9
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