SOLUTION: Brenda's school is selling tickets to a fall musical. On the first day of ticket sales the school sold 4 adult tickets and 3 child tickets for a total of $75. The school took in $2

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Brenda's school is selling tickets to a fall musical. On the first day of ticket sales the school sold 4 adult tickets and 3 child tickets for a total of $75. The school took in $2      Log On


   

Question 993946: Brenda's school is selling tickets to a fall musical. On the first day of ticket sales the school sold 4 adult tickets and 3 child tickets for a total of $75. The school took in $25 on the second day by selling 1 adult ticket and 2 child tickets. What is the price each of one adult ticket and one child ticket?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Brenda's school is selling tickets to a fall musical. On the first day of ticket sales the school sold 4 adult tickets and 3 child tickets for a total of $75. The school took in $25 on the second day by selling 1 adult ticket and 2 child tickets. What is the price each of one adult ticket and one child ticket?
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1st Day:: 4a + 3c = 75
2nd Day:: a + 2c = 25
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Modify for elimination:
4a + 3c = 75
4a + 8c = 100
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Subtract and solve for "c"::
5c = 25
c = 5 (Price of a child ticket)
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Solve for "a"::
a + 2c = 25
a + 10 = 25
a = 15 (Price of an adult ticket)
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Cheers,
Stan H.
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