SOLUTION: can you help me with this problem please SOLVE THIS SYSTEM OF LINEAR EQUATION BY GRAPHING: 353 people attend a local play at a private club. Members get tickets for $2.75, wh

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: can you help me with this problem please SOLVE THIS SYSTEM OF LINEAR EQUATION BY GRAPHING: 353 people attend a local play at a private club. Members get tickets for $2.75, wh      Log On


   

Question 836482: can you help me with this problem please
SOLVE THIS SYSTEM OF LINEAR EQUATION BY GRAPHING:

353 people attend a local play at a private club. Members get tickets for $2.75, while non-members have to pay $6.50. If the total gate for the play came to $1762, how many members and non-members came to the play?

I sent this same word problem in a minute ago without changing the type of problem, sorry and if you could show me exactly how you got the 2 equations to make the graph (like how you put them in slope intercept form) and if you could show me what the graph looks like(like a picture of the graph for this problem). And i know graphing isn't the easiest way to solve this but that's what my teacher ordered.
Once again i need this to be solved by graphing and i would like to see how you did it and the graph that would give me the answer.
Thank you for your time and help with this!
:D
Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
m+n = 353
2.75m + 6.50n = 1762


We can write n in terms of m (you can use variables x,y if you want) by a little rearranging:

n = -m + 353
n = -(2.75/6.50)m + (1762/6.50)

So the first equation, when graphed in the mn-plane, has slope -1 and n-intercept (0,353). A graph of both equations can be found here:

http://www.wolframalpha.com/input/?i=m%2Bn+%3D+353+and+2.75m+%2B+6.50n+%3D+1762