Question

On a certain hot​ summer's day, 291 people used the public swimming pool. The daily prices are $1.50 for children and $2.00 for adults. The receipts for admission totaled $472.50 How many children and how many adults swam at the public pool that​ day?

Answer 1

Answer: 219 children and 72 adults swam at the public pool that day.

Explanation:

Let x = Number of children , y= Number of adults.

As per given, x+y = 291 (i)

1.5x+2y = 472.50 (ii)

Multiply 2 on both sides of (i) , we get

2x+2y = 582 (iii)

Eliminate (ii) from (iii), we get

0.5x = 109.5

`\Rightarrow x=(109.50)/(0.5)=219`

Put value of x= 219 in (i)

219+y= 291

⇒ y = 291-219 = 72

Hence, 219 children and 72 adults swam at the public pool that day.