Question

Swimming Pool On a certain hot summer's day, 364 people used the public swimming pool. The daily prices are $1.75 for children and $2.25 for adults. The receipts for admission totaled $707.50. How many children and how many adults swam at the public pool that day?

1. There were _ children at the public pool.

2. There were _ adults at the public pool.

Answer 1

Explanation:

x = number of children

y = number of adults

x + y = 364

x = 364 - y

1.75x + 2.25y = 707.5

using the first equation in the second :

1.75(364 - y) + 2.25y = 707.5

637 - 1.75y + 2.25y = 707.5

637 + 0.5y = 707.5

0.5y = 70.5

y = 70.5/0.5 = 141

x = 364 - y = 364 - 141 = 223

there were 223 children at the public pool.

there were 141 adults at the public pool.