Question

On a certain hot​ summer's day, 340 people used the public swimming pool. The daily prices are $1.25 for children and $2.25 for adults. The receipts for admission totaled $677.00. How many children and how many adults swam at the public pool that​ day?

Answer 1

Number of children = x = 88

Number of Adults = y = 252

Explanation:

Let us represent:

Number of children = x

Number of Adults = y

On a certain hot​ summer's day, 340 people used the public swimming pool.

Hence:

x + y = 340..... Equation 1

x = 340 - y

The daily prices are $1.25 for children and $2.25 for adults. The receipts for admission totaled $677.00.

$1.25 × x + $2.25 × y =$ 677

1.25x + 2.25y = 677..... Equation 2

Let us substitute: 340 - y for x in Equation 2

1.25(340 - y) + 2.25y = 677

= 425 - 1.25y + 2.25y = 677

Collect like terms

- 1.25y + 2.25y = 677 - 425

1y = 252

y = 252

Solving for x

x = 340 - y

x = 340 - 252

x = 88

Therefore the number of children and adults that swam at the public pool that​ day are: 88 children and 252 Adults.e