Question

On a certain hot​ summer's day, 539539 people used the public swimming pool. The daily prices are $ 1.25$1.25 for children and $ 2.50$2.50 for adults. The receipts for admission totaled $ 1023.75 .$1023.75. How many children and how many adults swam at the public pool that​ day?

Answer 1

Answer:the number of children that swam at the public pool is 259

the number of adult that swam at the public pool is 280

Explanation:

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

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

On a certain hot​ summer's day,539 people used the public swimming pool. This means that

x+ y = 539

The daily prices are $ 1.25 for children and $ 2.50 for adults. The receipts for admission totaled $ 1023.75. This means that

1.25x + 2.5y = 1023.75 - - - - - - - - - -1

Substituting x = 539 - y into equation 1, it becomes

1.25(539 - y) + 2.5y = 1023.75

683.75 - 1.25y + 2.5y = 1023.75

- 1.25y + 2.5y = 1023.75 - 683.75

1.25y = 350

y = 350/1.25 = 280

Substituting y = 280 into x = 539 - y , it becomes

x = 539 - 280 = 259