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

1. 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