Question

Swimming Pool On a certain hot summer's day, 631 people used the public swimming pool. The daily prices are $1.25 for children and $2.00 for adults. The receipts for admission totaled $1013.00. How many children and how many adults swam at the public pool that day?​

Answer 1

Answer: Let's use the variables c and a to represent the number of children and adults who used the pool, respectively.

We know that the total number of people who used the pool is 631, so we can write:

c + a = 631 (equation 1)

We also know that the total receipts for admission were $1013.00. The cost for children is $1.25 and the cost for adults is $2.00, so we can write:

1.25c + 2a = 1013 (equation 2)

Now we have two equations with two unknowns. We can solve for c and a by using elimination or substitution.

Let's use elimination. Multiply equation 1 by 1.25 to get:

1.25c + 1.25a = 788.75 (equation 3)

Subtract equation 3 from equation 2 to eliminate c:

0.75a = 224.25

a = 299

Now we can use equation 1 to solve for c:

c + 299 = 631

c = 332

Therefore, there were 332 children and 299 adults who used the pool that day.

Explanation: