Problem Solving

During the first week of performances of a certain play, 5,400 tickets were sold, all at reduced price. During the remaining weeks of performances, 5 times as many tickets were sold at full price as were sold at reduced price. If the total number of tickets sold was 25,200, how many of them were sold at full price?

21,000

19,800

16,500

15,800

8,700


answer = C

number of reduced price=x
number of full price ticket sold =5x

5400+x_5x=25200
solving x=3300

number of full price ticket sold =5x=5*3300=16500

can anyone explain in detail
thanks

If you can write your thought process behind your explanation that would be great. I am not fully understanding how you got 3300.

I see how you got the 3300...

25200-5400 = 19800/6 = 3300

How do you know to divide by 6 and not 5? That is where I get confused