SOLUTION: An investor buys a total of 360 tickets for CONCERT. The price of adult ticket is $35, while the price for children's ticket is $45. The investor spends a total of $15000. How many
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Question 1150111: An investor buys a total of 360 tickets for CONCERT. The price of adult ticket is $35, while the price for children's ticket is $45. The investor spends a total of $15000. How many tickets for adult and for children did he buy?
Answer by VFBundy(438) (Show Source): You can put this solution on YOUR website!
# of Adult tickets = A
# of Children's tickets = C
Set up two equations:
A + C = 360
35A + 45C = 15000
Multiply the first equation by -45:
-45(A + C) = -45(360)
-45A - 45C = -16200
Here are your two equations again:
-45A - 45C = -16200
35A + 45C = 15000
Add the equations together:
-10A = -1200
Solve for A:
A = 120
Go back to the original equations we set up. The first one is:
A + C = 360
Plug in A = 120:
120 + C = 360
Solve for C:
C = 240
# of Adult tickets = A = 120
# of Children's tickets = C = 240
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