SOLUTION: Hello, sorry for the trouble I’m 11 and I don’t know how to do the problem. Tickets for admission to a high school football game cost 3$ for students and 5$ for adults. During

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Question 1107515: Hello, sorry for the trouble I’m 11 and I don’t know how to do the problem.
Tickets for admission to a high school football game cost 3$ for students and 5$ for adults. During one game, $2995 was collected from the sale of 279 tickets. How many adult tickets and student tickets were sold?

Found 2 solutions by Boreal, ikleyn:
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
This can't work to make $2995 in sales for 279 adult tickets (the maximum), because that would net $1395 only. Accordingly, I edited the question to make the total sales $995.
Adult tickets=A
Student tickets=S
A+S=279
5A+3S=995
-5A-5S=-1395, multiplying the top by -5
-2S=-400
S=200 students or $600 total
A=79 adults or $395 total

Answer by ikleyn(52775) About Me  (Show Source):
You can put this solution on YOUR website!
.
To see many other similar solved problems on tickets, look into the lessons
    - Using systems of equations to solve problems on tickets
    - Three methods for solving standard (typical) problems on tickets
in this site.

You will learn different methods of solution to these problems.


Also,  you have this free of charge online textbook in ALGEBRA-I in this site
    - ALGEBRA-I - YOUR ONLINE TEXTBOOK.

The referred lessons are the part of this online textbook under the topic "Systems of two linear equations in two unknowns".


Save the link to this online textbook together with its description

Free of charge online textbook in ALGEBRA-I
https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson

to your archive and use it when it is needed.