On a certain hot summer's day, 151 people used the public swimming pool. The daily prices are $1.50 for children and $2.00 for adults. The receipts for admission totaled $270.50 How many children and how many adults swam at the public pool that day?

63 children and 88 adults swam at the public pool that day.

Step-by-step explanation:

Let x = Number of children

y= Number of adults

As per given , we have

x+y=151            (i)

1.50x+2y=270.50          (ii)

Multiply 2 on both sides of (i)

2x+2y = 302          (iii)

Eliminate (ii) from (iii)

0.5x=31.5

⇒ x = 63   [Divide both sides by 0.5]

Put value of x in (i) , we get

63+y= 151

⇒ y= 151-63 =88

Hence, 63 children and 88 adults swam at the public pool that day.