Question

Swimming Pool On a certain hot​ summer's day, 323 people used the public swimming pool. The daily prices are $1.75 for children and $2.25 for adults. The receipts for admission totaled $589.25. How many children and how many adults swam at the public pool that​ day? Question content area bottom Part 1 There were enter your response here children at the public pool.

Answer 1

To find the number of children and adults that swam at the public pool, we create a system of equations based on the data provided and solve it. We conclude that there were 275 children and 48 adults.

Step-by-step explanation:

The question is asking us to solve a classic problem involving a system of linear equations. We need to determine the number of children and adults that swam at the public pool given the total number of people and the total amount of money collected from entrance fees.

Step-by-Step Solution:

1. Let's denote the number of children as C and the number of adults as A.
2. We have two equations based on the problem:
   Equation 1: C + A = 323 (Total number of people)
   Equation 2: 1.75C + 2.25A = 589.25 (Total amount of money collected)
3. We need to solve this system of equations. Multiplying Equation 1 by 1.75 gives us:
   1.75C + 1.75A = 565.25
4. Subtracting this new equation from Equation 2, we get:
   0.50A = 24
5. Solving for A gives us 48 adults.
6. Substitute back into Equation 1 to find C:
   C + 48 = 323
   C = 275

Therefore, there were 275 children and 48 adults at the public pool that day.