We let the common factor between the number of fans cheering for the home team and those cheering for the visitors be x such that the equation that would show the relationship between the individual numbers and the total number is,
7x + 2x = 18000
The value of x from the equation is 2000 and the number of those cheering for the home team is 7(2000) which is equal to 14000.
Answer: 14000