SOLUTION: A school is selling tickets for a student play. Tickets cost $1.50 each for children and $2.50 for adults. They sell 60 tickets and total taking are $126. How many children and ho

Algebra ->  Equations -> SOLUTION: A school is selling tickets for a student play. Tickets cost $1.50 each for children and $2.50 for adults. They sell 60 tickets and total taking are $126. How many children and ho      Log On


   

Question 936494: A school is selling tickets for a student play. Tickets cost $1.50 each for children and $2.50
for adults. They sell 60 tickets and total taking are $126. How many children and how many
adults buy tickets?
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
x= number of children
y= number of adults

1 x + 1 y = 60 .............1

1.50 x + 2.50 y = 126.00 .............2
Eliminate y
multiply (1)by -2.50
Multiply (2) by 1.00
-2.50 x -2.50 y = -150.00
1.50 x + 2.50 y = 126.00
Add the two equations
-1.00 x = -24.00
/ -1.00
x = 24.00
plug value of x in (1)
1.00 x + 1.00 y = 60.00
24.00 + y = 60.00
y = 60.00 -24
y = 36.00
y = 36.00 1
x= 24 number of children
y= 36 number of adults
m.ananth@hotmail.ca