SOLUTION: At a school play, 130 tickets were sold, with total receipts of $280. If adult tickets cost $2.50 each and student tickets cost $1.50 each, how many adult tickets were sold?
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Question 785730: At a school play, 130 tickets were sold, with total receipts of $280. If adult tickets cost $2.50 each and student tickets cost $1.50 each, how many adult tickets were sold? Answer by mananth(16946) (Show Source):
1.00 x + 1.00 y = 130.00 .............1
Total value
2.50 x + 1.50 y = 280.00 .............2
Eliminate y
multiply (1)by -1.50
Multiply (2) by 1.00
-1.50 x -1.50 y = -195.00
2.50 x + 1.50 y = 280.00
Add the two equations
1.00 x = 85.00
/ 1.00
x = 85.00
plug value of x in (1)
1.00 x + 1.00 y = 130.00
85.00 + y = 130.00
y = 130.00 -85.00
y = 45.00
y = 45.00
x= 85.00 Number of adult tickets
y= 45.00 Number of student tickets
m.ananth@hotmail.ca
