On a certain hot summer day, 673 people used the public swimming pool. The daily prices are 1.75 for children and 2.00 for adults.The receip

Question

On a certain hot summer day, 673 people used the public swimming pool. The daily prices are 1.75 for children and 2.00 for adults.The receipts for admission totaled to $1249.50. How many children and how many adults swam at the public pool that day?

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Đan Thu 3 years 2021-08-07T08:09:59+00:00 1 Answers 8 views 0

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  1. Nho
    0
    2021-08-07T08:11:01+00:00
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    Answer:

    Number of children = 386

    Number of adults = 287

    Step-by-step explanation:

    Let

    x = number of children

    y = number of adults

    x + y = 673 (1)

    1.75x + 2y = 1249.50 (2)

    From (1)

    x = 673 – y

    Substitute x = 673 – y into (2)

    1.75x + 2y = 1249.50

    1.75(673 – y) + 2y = 1249.50

    1177.75 – 1.75y + 2y = 1249.50

    – 1.75y + 2y = 1249.50 – 1177.75

    0.25y = 71.75

    y = 71.75/0.25

    y = 287

    Substitute y = 287 into (1)

    x + y = 673

    x + 287 = 673

    x = 673 – 287

    x = 386

    Number of children = 386

    Number of adults = 287

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