SOLUTION: For a Saturday matinee, adult tickets cost $6.50 and kids under 12 pay only $5.00. If 70 tickets are sold for a total of $380, how many of the tickets were adult tickets and how ma

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: For a Saturday matinee, adult tickets cost $6.50 and kids under 12 pay only $5.00. If 70 tickets are sold for a total of $380, how many of the tickets were adult tickets and how ma      Log On


   

Question 871888: For a Saturday matinee, adult tickets cost $6.50 and kids under 12 pay only $5.00. If 70 tickets are sold for a total of $380, how many of the tickets were adult tickets and how many were sold to kids under 12?
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
x= number of adults
y= number of children

1.00 x + 1.00 y = 70.00 .............1
Total value
6.50 x + 5.00 y = 380.00 .............2
Eliminate y
multiply (1)by -5.00
Multiply (2) by 1.00
-5.00 x -5.00 y = -350.00
6.50 x + 5.00 y = 380.00
Add the two equations
1.50 x = 30.00
/ 1.50
x = 20.00
plug value of x in (1)
1.00 x + 1.00 y = 70.00
20.00 + y = 70.00
y = 70.00 -20
y = 50.00
y = 50.00
x= 20.00 number of adults

y= 50.00 number of children

m.ananth@hotmail.ca