SOMEONE HELP ASAPPPP PLEASEEE,PLEASE EXPLAIN HOW U GOT YOUR ANSWER, I NEED AN EXPLANATION IN ORDER TO COMPLETE THIS! NO LINKS OR YOU WILL BE REPORTED, I WILL GIVE BRAINLIEST!!!!!

On a certain hot​ summer's day, 429 people used the public swimming pool. The daily prices are 1.75 for children and 2.50 for adults. The receipts for admission totaled 885.00. How many children and how many adults swam at the public pool that​ day?

Respuesta :

Answer:maybe  249.6 children and 179.4 adults

Step-by-step explanation:

250 children and 179 adults swam at the public pool that day.

C = number of children, which is also 1.75 each.

A = number of adults, which is also 2.50 each.

Since 429 used the public swimming pool, we know that C + A = 429.

Or, we can also use the expression:

1.75c + 2.50a = 885 (admission totaled 885.)

We also know that:

A = 429 - C

Take this expression substitute A with it into the original expression. We would get:

1.75c + 2.50 (429 - C) = 885

2.50 * 429 = 1,072.5

We would then get the following expression:

1.75c + 1,072.5 - 2.50c = 885

2.50 - 1.75 = 0.75

0.75c + 1,072.5 = 885

This also means:

0.75c = 1,072.5 - 885

1,072.5 - 885 = 187.5

Use distributive property to find C:

0.75c = 187.5

C = 187.5/0.75

= 250

C = 250

Now we find A:

A = 429 - C

Now we know what C is, we can calculate A using the expression above.

A = 429 - 250

= 179

Therefore, 250 children and 179 adults swam at the public pool that day.

I hate asking for Brainliest, but I did spend a lot of time on this question so I would appreciate it if I did get Brainliest or at least get voted 5 stars. If not, that’s fine! I hope this helped!