SOLUTION: Five hundred tickets were sold for one performance of a play. The tickets for adults were $7.50 and for the children they were $4.75. The receipts for the performance totaled $3351

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Five hundred tickets were sold for one performance of a play. The tickets for adults were $7.50 and for the children they were $4.75. The receipts for the performance totaled $3351      Log On


   

Question 1148021: Five hundred tickets were sold for one performance of a play. The tickets for adults were $7.50 and for the children they were $4.75. The receipts for the performance totaled $3351.25. How many of each type of tickets were sold?
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
A+C=500
7.5A+4.75C=3351.25
C=500-A
7.5A+4.75(500-A)=3351.25
7.5A+2375-4.75A=3351.25
2.75A=976.25
A=355 adults ($2662.50)
C=500-A=145 children ($688.75)