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
Step-by-step 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
