A rock concert drew 55,300 fans to a venue in London. The price of each ticket in sections A to M was $55 , and the price of each ticket in sections N to Z was $85 . The concert brought in a total of $3,740,500 in ticket sales.
How many tickets in sections N to Z were sold?
Let's assume that the number of tickets sold in sections A to M is x.
Therefore, the number of tickets sold in sections N to Z would be 55300 - x.
The total revenue from sections A to M would be 55x.
The total revenue from sections N to Z would be 85(55300 - x).
According to the given information, the total revenue from all the tickets sold is $3,740,500.
So we have the equation 55x + 85(55300 - x) = 3,740,500.
Expanding the equation, we get:
55x + 85*55300 - 85x = 3,740,500
Simplifying the equation, we get:
-30x + 4700500 = 3,740,500
Subtracting 4700500 from both sides of the equation, we get:
-30x = -470000
Dividing both sides of the equation by -30, we get:
x = 15670
Therefore, the number of tickets sold in sections N to Z is 55300 - 15670 = 39630. Answer: \boxed{39,630}.