When a number is divided by 5, the result is 50 more than if the number had been divided by 6. What is the number?

Let the number = N

N/5 - N/6 = 50, solve for N

Solve for N:
N/30 = 50

Multiply both sides of N/30 = 50 by 30:
1 N = 30×50

(30 N)/30 = 30/30×N = N:
N = 30×50

30×50 = 1500:
Answer: |N = 1500