SOLUTION: At the movies, a discount ticket sells for $5 off the normal price. 4 discount tickets and 3 full price tickets sell for $92 altogether. What is the cost of a full price and discou

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: At the movies, a discount ticket sells for $5 off the normal price. 4 discount tickets and 3 full price tickets sell for $92 altogether. What is the cost of a full price and discou      Log On


   

Question 774945: At the movies, a discount ticket sells for $5 off the normal price. 4 discount tickets and 3 full price tickets sell for $92 altogether. What is the cost of a full price and discount ticket
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +t+ = cost of a full price ticket
+t+-+5+ = cost of a discount ticket
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+3t+%2B+4%2A%28+t+-+5+%29+=+92+
+3t+%2B+4t+-+20+=+92+
+7t+=+112+
+t+=+16+
+t+-+5+=+11+
The cost of a full price ticket $16
The cost of a discount ticket is $11
check:
+3t+%2B+4%2A%28+t+-+5+%29+=+92+
+3%2A16+%2B+4%2A11+=+92+
+48+%2B+44+=+92+
+92=+92+
OK