Question

On a certain hot​ summer's day, 762 people used the public swimming pool. The daily prices are $1.50 for children and $2.00 for adults. The receipts for admission totaled $1268.50.How many children and how many adults swam at the public pool that​ day?

Answer 1

Let's call the number of children who swam at the public pool "x". The number of adults who swam would be 762 - x. The total revenue from the children would be $1.50 per child * x children = $1.50x. The total revenue from the adults would be $2.00 per adult * (762 - x) adults = $2.00(762 - x).

We know that the total revenue was $1268.50, so we can set up an equation:

$1.50x + $2.00(762 - x) = $1268.50

Expanding the equation:

$1.50x + $1524 - $2.00x = $1268.50

Simplifying the equation:

$0.50x + $1524 = $1268.50

Subtracting $1524 from both sides:

$0.50x = -$255.50

Dividing both sides by -0.50:

x = 511

So, there were 511 children who swam at the public pool, and 762 - 511 = 251 adults.