Question

Swimming pool on a certain hot summer’s day. the daily prices are $1.75 for children and two dollars for adults. the receipts for admission totaled $323.50. how many children and how many adults swam at the public pool that day?

Answer 1

To solve for the number of children and adults that swam at the pool, we need to set up a system of linear equations using the given prices and total receipts. We have one equation based on the total receipts, but to solve the problem, we need a second independent equation, which is not provided. Therefore, we cannot determine the exact number of children and adults without additional information.

Step-by-step explanation:

To find out how many children and adults swam at the public pool on a hot summer's day, we need to set up a system of linear equations based on the information provided about the daily prices and total receipts. Let's denote the number of children as c and the number of adults as a. The price for children is $1.75, and the price for adults is $2.00. The total amount collected from admissions is $323.50.

Therefore, we have the following two equations:

1. 1.75c + 2a = 323.50 (Total receipts from admissions)
2. c + a = Total number of people (We do not know this value yet)

We have one equation with the total amount and only the prices, but we need a second equation to solve this system, which could either be the total number of people or another condition provided in the problem. However, since the question does not provide the total number of people or any additional condition, we're not able to solve for c and a with the given information alone.

In a situation where we have two independent equations, we can use methods such as substitution or elimination to solve for the two variables.