SOLUTION: The school production of​ 'Our Town' was a big success. For opening​ night, 341 tickets were sold. Students paid ​$3.50 ​each, while​ non-students pai
Algebra ->
Percentage-and-ratio-word-problems
-> SOLUTION: The school production of​ 'Our Town' was a big success. For opening​ night, 341 tickets were sold. Students paid ​$3.50 ​each, while​ non-students pai
Log On
Question 1057362: The school production of 'Our Town' was a big success. For opening night, 341 tickets were sold. Students paid $3.50 each, while non-students paid $5.50each. If a total of $ 1465.50 was collected, how many students and how many non-students attended? Answer by Cromlix(4381) (Show Source):
You can put this solution on YOUR website! Hi there,
Make students = x
Non-students = y
x + y = 341......Eq(1)
3.50x + 5.50y = 1465.50.......Eq(2)
Multiply Eq(1) by 3.50
3.50x + 3.50y = 1193.50.......Eq(1)
3.50x + 5.50y = 1465.50.......Eq(2)
Subtract Eq(1) from Eq(2)
2y = 272
y = 136
Substitute y = 136 into Eq(1)
x + y = 341
x + 136 = 341
x = 341 - 136
x = 205
Number of students = 205
Number of non-students = 136
Hope this helps :-)
