Question

On a certain hot​ summer's day, 454 people used the public swimming pool. The daily prices are $1.50 for children and $2.50 for adults. The receipts for admission totaled $1,043.00. How many children and how many adults swam at the public pool that​ day?

Answer 1

Let's assume that the number of children who used the public swimming pool is 'x' and the number of adults who used the pool is 'y'.

From the given information, we can form two equations:

x + y = 454 (equation 1) --> the total number of people who used the pool

1.5x + 2.5y = 1043 (equation 2) --> the total revenue collected from admission fees

We can use these equations to solve for 'x' and 'y'. Let's start by multiplying equation 1 by 1.5 to eliminate 'x':

1.5x + 1.5y = 681 (equation 1 multiplied by 1.5)

1.5x + 2.5y = 1043 (equation 2)

Now, we can subtract equation 1 from equation 2 to eliminate 'x' and solve for 'y':

2.5y - 1.5y = 1043 - 681

y = 224

So, there were 224 adults who used the pool. We can substitute this value into equation 1 to solve for 'x':

x + 224 = 454

x = 230

Therefore, there were 230 children who used the pool.