Question

on a certain hot summers day 393 people used the piblic swimming pool the daily prices are $1.50 for children and $2.50 for adults the receipts for admission totaled $678.50 how many children and how many adults swam at the public pool that day

Answer 1

Answer: There were 304 children and 89 adults at the public pool on that hot summer day.

Step-by-step explanation:

Let's say the total number of people at the pool that day is x + y = 393

The total cost of admission for all the people is $678.50

The cost for each child's admission is $1.50 and the cost for each adult's admission is $2.50

We can use this information to set up two equations:

x + y = 393 (Total number of people)

1.5x + 2.5y = 678.5 (Total cost of admission)

Now we can use the first equation to solve for one of the variables. For example, we can solve for y:

y = 393 - x

We can substitute this value of y into the second equation:

1.5x + 2.5(393 - x) = 678.5

We can then solve this equation for x:

1.5x + 982.5 - 2.5x = 678.5

-x = -304

x = 304

This means that there were 304 children at the pool that day. We can use the first equation to find the number of adults:

x + y = 393

304 + y = 393

y = 393 - 304

y = 89

Therefore, there were 304 children and 89 adults at the public pool on that hot summer day.