Admission to a museum cost $12 for adults and $7 for children. A group of 35 people attending the museum paid a total of $315 in admission fee. Write a system of equations to represent the situation. Let A represent the number of adults admissions and C represent the number of child admissions

number of adults --- A

number of kids ----- C

A + C = 35
12A + 7C = 315

How do you’d find the amount of adults though you only said half of the problem

Umm how did u get that answer tho?..

To find the number of adult admissions, you can substitute the value of C (14, as found above) in the first equation A + C = 35 to get A + 14 = 35, solve to get A = 21. Therefore, there were 21 adult admissions and 14 child admissions.

The answer is 14

(in response to my last comment)

Look at the first equation: a+c=35. What would 35 - c get you? A. Now try and plug that into the equation. Basically to get a we should see what c is first. Write the equation 12(35-c)+7c=315. If you don't know how to solve this try and put this exact equation in mathway! It'll solve it for you here's the link: mathway.com
Unfortunately I'm too lazy to type this all out :P but that should get you the answer for c. Again, the answer is 14. Plug it into your equation to see if it's true. if you haven't made an equation here's one: 12a+7c=315

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