SOLUTION: A total of 855 tickets were sold for a game for a total of $1,060. If adult tickets sold for $2.00 and children's tickets sold for $1.00, how many of each kind of ticket were sold?
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Question 666192: A total of 855 tickets were sold for a game for a total of $1,060. If adult tickets sold for $2.00 and children's tickets sold for $1.00, how many of each kind of ticket were sold? Answer by ReadingBoosters(3246) (Show Source):
You can put this solution on YOUR website! Establish the variables
x = adult tickets
y = children's tickets
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Given
x+y=855
2x+1y=1060
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Rearrange x+y=855 as x=855-y and substitute into the second equation
2(855-y) + y = 1060
1710 - 2y + y = 1060
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Isolate y
1710 - 1060 = 2y - y
650 = y children's tickets
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Rearrange x+y=855 as y = 855-x and substitute into the second equation
2x + 855-x = 1060
Isolate x
2x - x = 1060 - 855
x = 205 adult tickets
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Check
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