SOLUTION: Lee sold 45 tickets to the concert and collected $105. Adult tickets cost $3.00 each and children's tickets are $1.00 each. How many of each type of ticket did he sell?

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Question 1024011: Lee sold 45 tickets to the concert and collected $105. Adult tickets cost $3.00 each and children's tickets are $1.00 each. How many of each type of ticket did he sell?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +a+ = number of adult tickets sold
Let +b+ = number of children's tickets sold
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(1) +a+%2B+b+=+45+
(2) +3%2Aa+%2B+1%2Ab+=+105+
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Subtract (1) from (2)
(2) +3a+%2B+b+=+105+
(1) +-a+-+b+=+-45+
-------------------
+2a+=+60+
+a+=+30+
and
(1) +a+%2B+b+=+45+
(1) +30+%2B+b+=+45+
(1) +b+=+15+
He sold 30 adult tickets and 15 children's tickets
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check:
(2) +3a+%2B+b+=+105+
(2) +3%2A30+%2B+15=+105+
(2) +90+%2B+15+=+105+
(2) +105+=+105+
OK