SOLUTION: On the first day of ticket sales the school sold 2 senior citizen tickets and 3child tickets for a total of$54. The school took in $44 on the second day by selling 2 senior citizen

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Question 1075680: On the first day of ticket sales the school sold 2 senior citizen tickets and 3child tickets for a total of$54. The school took in $44 on the second day by selling 2 senior citizen tickets and 2 child tickets. What is the price each one senior citizen ticket and one child ticket?
Found 2 solutions by josgarithmetic, addingup:
Answer by josgarithmetic(39625) About Me  (Show Source):
You can put this solution on YOUR website!
s, price of senior citizen ticket
c, price of child ticket

system%282s%2B3c=54%2C2s%2B2c=44%29

You should be able to see the value for c, immediately.

Answer by addingup(3677) About Me  (Show Source):
You can put this solution on YOUR website!
2s+3c = 54
2s+2c = 44 multiply all times -1 and add to the equation above:
````````````````````````````
2s+3c = 54
+
-2s-2c = -44
`---------------
0s+c = 10 the child ticket was 10
Now solve for s:
2s+3(10) = 54
2s+30 = 54
2s = 24
s = 12 the senior tickets were 12