SOLUTION: The Celluloid Cinema sold 150 tickets to a movoe. Some of these were child tickets and the rest were adult tickets. A child ticket cost $7.75 and an adult ticket cost $10.25. If th

Algebra ->  Systems-of-equations -> SOLUTION: The Celluloid Cinema sold 150 tickets to a movoe. Some of these were child tickets and the rest were adult tickets. A child ticket cost $7.75 and an adult ticket cost $10.25. If th      Log On


   



Question 1062781: The Celluloid Cinema sold 150 tickets to a movoe. Some of these were child tickets and the rest were adult tickets. A child ticket cost $7.75 and an adult ticket cost $10.25. If the cinema sold $1470 worth of tickets, which system f equation could be used to determine how many adult tickets, a, and how many child tickets c, were sold?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +a+ = number of adult tickets sold
Let +c+ = number of child tickets sold
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(1) +a+%2B+c+=+150+
(2) +1025a+%2B+775c=+147000+ ( in cents )
Divide both sides by +25+
(2) +41a+%2B+31c+=+5880+
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Multiply both sides of (1) by +31+
and subtract (1) from (2)
(2) +41a+%2B+31c+=+5880+
(1) +-31a+-+31c+=+-4650+
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+10a+=+1230+
+a+=+123+
and
(1) +a+%2B+c+=+150+
(1) +123+%2B+c+=+150+
(1) +c+=+27+
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123 adult tickets and 27 child tickets were sold
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check:
(2) +1025a+%2B+775c=+147000+
(2) +1025%2A123+%2B+775%2A27+=+147000+
(2) +126075+%2B+20925+=+147000+
(2) +147000+=+147000+
OK