Question

On a certain hot​ summer's day, 163 people used the public swimming pool. The daily prices are $ 1.50 for children and $ 2.50 for adults. The receipts for admission totaled $ 312.50 .  How many children and how many adults swam at the public pool that​ day?

Answer 1

Answer: 95 children, 68 adults

Step-by-step explanation:

Let the number of children be y

Let the number of adults be z

The following equation can be gotten from the question:

y + z = 163 ...... equation i

1.5y + 2.5z = 312.5 ....... equation ii

Multiply equation I by 1.5

Multiply equation ii by 1

1.5y + 1.5z = 244.5 ......... equation iii

1.5y + 2.5z = 312.5 ........ equation iv

Then subtract equation iv from iii

-z = -68

z = 68

From equation I

y + z = 163

y = 163 - 68

= 95

95 children and 68 adults swam.