Question

On a certain hot​ summer's day, 325 people used the public swimming pool. The daily prices are $ 1.75 for children and $ 2.00 for adults. The receipts for admission totaled $ 632.50 . How many children and how many adults swam at the public pool that​ day?

Answer 1

162

Explanation:

Answer 2

Answer: 70 children and 255 adults swam at the public pool that day.

Explanation:

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

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

On a certain hot​ summer's day, 325 people used the public swimming pool. This means that

x + y = 325

The daily prices are $1.75 for children and $2.00 for adults. The receipts for admission totaled

$632.50. This means that

1.75x + 2y = 632.5- - - - - - - - - - - 1

Substituting x = 325 - y into equation 1, it becomes

1.75(325 - y) + 2y = 632.5

568.75 - 1.75y + 2y = 632.5

- 1.75y + 2y = 632.5 - 568.75

0.25y = 63.75

y = 63.75/0.25

y = 255

x = 325 - y = 325 - 255

x = 70