Question

Swimming Pool On a certain hot summer's day, 527 people used the public swimming pool. The daily prices are $1.50 for children and $2.50 for adults. The receipts for admission totaled $1059.50.

How many children and how many adults swam at the public pool that day?

Answer 1

Answer: children = 258, adults = 269

Explanation:

let x = number of children

let y = number of adults

x + y = 527

solve for x in terms of y:

x = 527 - y

$1.5x + $2.5y = $1059.50

substitute in x = 527 - y

1.5(527 - y) + 2.5y = 1059.50

Now you can solve for y:

790.50 - 1.5y + 2.5y = 1059.50

y = 1059.50 - 790.5 = 269

Now solve for x:

x + 269 = 527

x = 527 - 269 = 258