SOLUTION: The drama club is earning money for sets through its ticket sales for the school play. Tickets purchased in advance cost $4 and tickets sold at the door cost $5.50. Altogether the
Question 1113199: The drama club is earning money for sets through its ticket sales for the school play. Tickets purchased in advance cost $4 and tickets sold at the door cost $5.50. Altogether the drama club earned 4$40 in ticket sales. If there were 15 more tickets sold in advance than at the door, how many of each price were sold? Answer by mananth(16946) (Show Source):
$4 x Advance tickets
$5.50 y sold at door
Equation for total investors
x - y = 15 .............1
Equation for amount raised
$4 x + 5.50 y = $440 .............2
Eliminate y
multiply (1)by 5.50
Multiply (2) by 1
5.50 x -5.50 y = 82.50
4.00 5.50 y = 440.00
Add the two equations
9.50 x = 522.50
/ 9.50
x = 55.00
plug value of x in (1)
x + - y = 15
55 + - y = 15
- y = -40
y= 40
