SOLUTION: Tickets for a school play sold for $2.50 for each adult and $1.00 for each child. The total receipts for 113 tickets sold were $221. Find the number of adult tickets sold.

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Question 317183: Tickets for a school play sold for $2.50 for each adult and $1.00 for each child. The total receipts for 113 tickets sold were $221. Find the number of adult tickets sold.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Let A be the number of adult tickets, B the number of child tickets.
1.A%2BB=113
2.2.50A%2B1.00B=221
Multiply eq. 1 by -1 and add to eq. 2,
-A-B%2B2.5A%2BB=-113%2B221
1.5A=108
highlight%28+A=72%29
Then from eq. 1,
72%2BB=113
highlight%28B=41%29