SOLUTION: a theatre sells children's tickets for $7 each and adult tickets for $10 each. for the matinee sold a total of 224 tickets and collected $2000. how many of each type of ticket did

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Question 996496: a theatre sells children's tickets for $7 each and adult tickets for $10 each. for the matinee sold a total of 224 tickets and collected $2000. how many of each type of ticket did they sell?
Answer by fractalier(6550) About Me  (Show Source):
You can put this solution on YOUR website!
Let x be the number of children's tickets and y will be adult tickets.
We know the number equation to be
x + y = 224
The value equation is
7x + 10y = 2000
If we multiply the top equation by ten, we get
10x + 10y = 2240 and copy the second one and subtract them, we get
-(7x + 10y = 2000)
and
3x = 240
x = 80
Then
y = 224 - 80
y = 144