SOLUTION: The circus is coming to town. Sue is selling tickets. The first day she sold 4 senior citizen tickets and 2 children's tickets for a total of $80. The second day she received $145

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: The circus is coming to town. Sue is selling tickets. The first day she sold 4 senior citizen tickets and 2 children's tickets for a total of $80. The second day she received $145       Log On


   

Question 774259: The circus is coming to town. Sue is selling tickets. The first day she sold 4 senior citizen tickets and 2 children's tickets for a total of $80. The second day she received $145 for 5 senior citizen tickets and 7 children's tickets. What is the price of a child's ticket and a senior citizen ticket?
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
x= cost of senior citizens tickets
y= cost of children tickets
First day
4 x + 2 y = 80 .............1
day II
5 x + 7 y = 145 .............2
Eliminate y
multiply (1)by -7
Multiply (2) by 2
-28 x -14 y = -560
10 x + 14 y = 290
Add the two equations
-18 x = -270
/ -18
x = 15
plug value of x in (1)
4 x + 2 y = 80
60 + 2 y = 80
2 y = 80 -60
2 y = 20
y = 10
x= 15 cost of senior citizens tickets
y= 10 cost of children tickets
m.ananth@hotmail.ca