On a certain hot​ summer's day, 288 people used the public swimming pool. The daily prices are $1.75 for children and $2.50 for adults. The receipts for admission totaled $528.00. How many children and how many adults swam at the public pool that​ day?

See explanation

Step-by-step explanation:

Let the number of adults = a and the number of children = c.

Since the number of people using the pool is 288, we know that a + c = 288

Based on the price information, we know that 1.75c + 2.5a = 528

Combining these two equations allows us to solve for the values of a and c, the process for which follows

a = 288 - c

1.75c + 2.5(288 - c) = 528

c = 256

a = 288 - c = 288 - 256 = 32

a = 32

c = 256

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