Question

582 people used the public swimming pool. The daily prices are $1.50 for children and $2.00 for adults. The receipts for admission totaled to $1004.00. How many children and adults swam at the public pool?

Answer 1

Answer:320 children and 262 adults swam in the public pool

Step-by-step explanation:

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

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

582 people used the public swimming pool. This means that

x + y = 582

The daily prices are $1.50 for children and $2.00 for adults. The receipts for admission totaled to $1004.00. This means that

1.5x + 2y = 1004 - - - - - - - - - -1

Substituting x = 582 - y into equation 1, it becomes

1.5(582 - y) + 2y = 1004

873 - 1.5y + 2y = 1004

- 1.5y + 2y = 1004 - 873

0.5y = 131

y = 131/0.5 = 262

Substituting y = 262 into x = 582 - y, it becomes

x = 582 - 262 = 320