SOLUTION: A carnival sells tickets for $2 each to adults and $1.50 each to children. If the carnival sold 500 tickets for a total price of $800, how many adults bought tickets?

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Question 126287: A carnival sells tickets for $2 each to adults and $1.50 each to children. If the carnival sold 500 tickets for a total price of $800, how many adults bought tickets?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
a = number of adult tickets bought
c = number of childrens tickets bought
2a+%2B+1.5c+=+800
a+%2B+c+=+500
c+=+500+-+a
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2a+%2B+1.5%28500+-+a%29+=+800
2a+%2B+750+-+1.5a+=+800
.5a+=+50
a+=+100 answer
100 adults bought tickets
check answer
c+=+500+-+a
c+=+500+-+100
c+=+400
2a+%2B+1.5c+=+800
2%2A100+%2B+1.5%2A400+=+800
200+%2B+600+=+800
800+=+800
OK