SOLUTION: 343 people attend a local play at the private club. Members get tickets for $2.75, while non-members have to pay $6.50. If the total gate play came to $1762, how many ,members & no

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: 343 people attend a local play at the private club. Members get tickets for $2.75, while non-members have to pay $6.50. If the total gate play came to $1762, how many ,members & no      Log On


   

Question 273488: 343 people attend a local play at the private club. Members get tickets for $2.75, while non-members have to pay $6.50. If the total gate play came to $1762, how many ,members & non-members came to the play?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
a = members who buy tickets
b = non-members who buy tickets
given:
(1) a+%2B+b+=+343
(2) 275a+%2B+650b+=+176200 (in cents)
Multiply both sides of (1) by 275, and
subtract from (2)
This will give an expression for b, then
use (1) to find a