SOLUTION: on a particular eveninga theater sold 113 tickets. children's tickets sold for $3.50 and adult tickets sold for $6.00. If the amount collected for the itckets was $633, how many of

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Question 319526: on a particular eveninga theater sold 113 tickets. children's tickets sold for $3.50 and adult tickets sold for $6.00. If the amount collected for the itckets was $633, how many of each ticket were sold?
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
A+C=113 OR A=113-C
3.50C+6.00A=633
3.50C+6.00(113-C)=633
3.50C+678-6C=633
-2.50C=633-678
-2.5C=-45
C=-45/-2.5
C=18 NUMBER OF CHILDREN TICKETS SOLD.
113-18=95 NUMBER OF ADULT TICKETS SOLD.
PROOF:
3.5*18+6*95=633
63+570=633
633=633