SOLUTION: 2a+5s=41 represents the money collected on the first night of their performance and 3a+6s=54 represents the money they collected on the second night of their performance. What

Algebra ->  Linear-equations -> SOLUTION: 2a+5s=41 represents the money collected on the first night of their performance and 3a+6s=54 represents the money they collected on the second night of their performance. What       Log On


   



Question 1106353: 2a+5s=41 represents the money collected on the first night of their performance and 3a+6s=54 represents the money they collected on the second night of their performance.
What is the cost of each adult ticket (a)?
a = $
What is the cost of each student ticket (s)?
s = $

Answer by ikleyn(52890) About Me  (Show Source):
You can put this solution on YOUR website!
.
Multiply first equation by 3; then multiply second equation by 2.


After that, subtract the second equation from the first one.


The terms with "a" will cancel each other, and you will get an equation for single unknown "s".


It is how the Elimination method works.


Solve this equation and find s, the cost of each student ticket.


Then find "a".

That's all.

----------------------
To see other similar solved problems on tickets, look in the lesson
    - Using systems of equations to solve problems on tickets
in this site.