Question

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?

Answer 1

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

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.