SOLUTION: 40 adults and 26 kids went to see a movie on the opening screnning and the revenue for the showing was $ 486.70. The next showing 20 adults and 31 kids went to see the same movie a

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: 40 adults and 26 kids went to see a movie on the opening screnning and the revenue for the showing was $ 486.70. The next showing 20 adults and 31 kids went to see the same movie a      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 729240: 40 adults and 26 kids went to see a movie on the opening screnning and the revenue for the showing was $ 486.70. The next showing 20 adults and 31 kids went to see the same movie and the revenue was $ 332.45. How much was an adult and how much was a kid ticket?
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
x= cost of adult tickets
y= cost of kid ticket
Total sold
40.00 x + 26.00 y = 486.70 .............1
Total value
20.00 x + 31.00 y = 332.45 .............2
Eliminate y
multiply (1)by -31.00
Multiply (2) by 26.00
-1240.00 x -806.00 y = -15087.70
520.00 x + 806.00 y = 8643.70
Add the two equations
-720.00 x = -6444.00
/ -720.00
x = 8.95
plug value of x in (1)
40.00 x + 26.00 y = 486.70
358.00 + 26.00 y = 486.70
26.00 y = 486.70 -358.00
26.00 y = 128.70
y = 4.95
x= 8.95 cost of adult tickets
y= 4.95 cost of kid ticket
m.ananth@hotmail.ca