SOLUTION: Tickets of a program at college cost $5 for general admission or $4 with a student ID. If 181 people paid to see a performance and $798 was collected, how many of each type of tick

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Tickets of a program at college cost $5 for general admission or $4 with a student ID. If 181 people paid to see a performance and $798 was collected, how many of each type of tick      Log On


   

Question 1048279: Tickets of a program at college cost $5 for general admission or $4 with a student ID. If 181 people paid to see a performance and $798 was collected, how many of each type of ticket were sold?
Answer by addingup(3677) About Me  (Show Source):
You can put this solution on YOUR website!
let general admission be x and students y
x+y = 181 subtract y on both sides and you get
x = 181-y
and
5x+4y = 798 substitute for x:
5(181-y)+4y = 798
905-5y65+4y = 798
-y = -107 divide both sides by -1
y = 107
There were 107 students and 181-107 = 74 general adm
>>>>>>>>>>>>>>>>>>>>>>>>>>>>
Check:
(107*4)+(74*5) = 798 Correct.
:
John