Question

On a certain hot​ summer's day, 524 people used the public swimming pool. The daily prices are $1.25 for children and $2.25 for adults. The receipts for admission totaled $891.00 How many children and how many adults swam at the public pool that​ day?

Answer 1

236 for children and 288 for adults

Explanation:

→ Set up 2 simultaneous equations

a + c = 524

2.25a + 1.25c = 891

→ Multiply 1st equation by 1.25

1.25a + 1.25c = 655

2.25a + 1.25c = 891

→ Minus from each other

-a = -236 ⇔ a = 236

→ Substitute into first equation

236 + c = 524 ⇔ c = 288