On a certain hot​ summer’s day, 325 people used the public swimming pool. The daily prices are $ 1.75 for children and $ 2.00 for adults. Th

Question

On a certain hot​ summer’s day, 325 people used the public swimming pool. The daily prices are $ 1.75 for children and $ 2.00 for adults. The receipts for admission totaled $ 632.50 . How many children and how many adults swam at the public pool that​ day?

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Nevaeh 2 months 2021-10-15T14:39:18+00:00 2 Answers 0 views 0

Answers ( )

    0
    2021-10-15T14:41:00+00:00

    Answer: 70 children and 255 adults swam at the public pool that day.

    Step-by-step explanation:

    Let x represent the number of children that swam at the public pool that day.

    Let y represent the number of adults that swam at the public pool that day.

    On a certain hot​ summer’s day, 325 people used the public swimming pool. This means that

    x + y = 325

    The daily prices are $1.75 for children and $2.00 for adults. The receipts for admission totaled

    $632.50. This means that

    1.75x + 2y = 632.5- – – – – – – – – – – 1

    Substituting x = 325 – y into equation 1, it becomes

    1.75(325 – y) + 2y = 632.5

    568.75 – 1.75y + 2y = 632.5

    – 1.75y + 2y = 632.5 – 568.75

    0.25y = 63.75

    y = 63.75/0.25

    y = 255

    x = 325 – y = 325 – 255

    x = 70

    0
    2021-10-15T14:41:08+00:00

    Answer:

    162

    Step-by-step explanation:

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