SOLUTION: This is the question. A theater sold 480 tickets for a play last night. Floor seats sold for 30$ each and balcony tickets sold for 24$ each. The total amount collected for the 480

Algebra ->  Proportions -> SOLUTION: This is the question. A theater sold 480 tickets for a play last night. Floor seats sold for 30$ each and balcony tickets sold for 24$ each. The total amount collected for the 480       Log On


   

Question 55388: This is the question. A theater sold 480 tickets for a play last night. Floor seats sold for 30$ each and balcony tickets sold for 24$ each. The total amount collected for the 480 tickets was $13,200. How many seats of each type were sold? thanks
Answer by Cintchr(481) About Me  (Show Source):
You can put this solution on YOUR website!
+F+%2B+B+=+480+
Solve for F
+F+=+480+-+B+

+30F+%2B+24B+=+13200+
Substitute the value of F into the equation
+30%28480-B%29+%2B+24B+=+13200+
Distribute
+14400+-+30B+%2B+24B+=+13200+
Combine like terms
+14400+-6B+=+13200+
Subtract
+-6B+=+-1200+
Divide
+B+=+200+

+F+%2B+B+=+480+
+F+%2B+200+=+480+
+F+=+280+

F = 280
B = 200