On a certain hot summers, 256 people used the public swimming pool. The daily prices are $1.75 for children and $2.75 fo adults. The receipts for admission totaled to $551.50. How many children and adults swam that day? Explain.

152 children and 104 adults swam.

Step-by-step explanation:

Let x represent the number of children tickets. It also means that x children swam.

Let y represent the number of adult tickets. It also means that y adults swam.

On a certain hot summers, 256 people used the public swimming pool. This means that

x + y = 256

The daily prices are $1.75 for children and $2.75 for adults. The receipts for admission totaled to $551.50. This means that

1.75x + 2.75y = 551.5- - - - - -- - - - - -1

Substituting x = 256 - y into equation 1, it becomes

1.75(256 - y) + 2.75y = 551.5

448 - 1.75y + 2.75y = 551.5

- 1.75y + 2.75y = 551.5 - 448

y = 103.5

Approximately 104 adults

x = 256 - y = 256 - 104

x = 152

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