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The school that Lisa goes to is selling tickets to a fall musical. On the first day of ticket sales the school sold 4 adult tickets and 6 child tickets for a total of $130. The school took in $280 on the second day by selling 10 adult tickets and 12 child tickets. Find the price of an adult ticket and the price of a child ticket.

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Answer:

adult  $10   Children $15

Step-by-step explanation:

4A + 6C = 130

10A + 12C = 280

Multiply the first by -2 to eliminate C

-8A -12C = - 260

10A +12C = 280

   ADD BOTH

2A = 20

A=10    ($10 per adult)

   40+6C = 130

6C = 90

C=15 (15 per child)

 

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