SOLUTION: A movie theater charges $10 for adult tickets and $7 for child tickets. On a particular day, they made $1475 in ticket sales. They also know that they sold 170 tickets altogether.

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: A movie theater charges $10 for adult tickets and $7 for child tickets. On a particular day, they made $1475 in ticket sales. They also know that they sold 170 tickets altogether.      Log On


   

Question 939767: A movie theater charges $10 for adult tickets and $7 for child tickets. On a particular day, they made $1475 in ticket sales. They also know that they sold 170 tickets altogether. This means they must have sold adult tickets and child tickets.
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
x= number of adult tickets
y= number of child tickets

1 x + 1 y = 170 .............1

10 x + 7 y = 1475 .............2
Eliminate y
multiply (1)by -7
Multiply (2) by 1
-7 x -7 y = -1190
10 x + 7 y = 1475
Add the two equations
3 x = 285
/ 3
x = 95
plug value of x in (1)
1 x + 1 y = 170
95 + y = 170
y = 170 -95
y = 75
y = 75 1
x= 95 number of adult tickets
y= 75 number of child tickets
m.ananth@hotmail.ca