Answer: 300 students were members of the health club during the month of october.
Step-by-step explanation:
Let x represent the number of students that were members of the health club during the month of october.
Let x represent the number of other members of the health club during the month of october.
The health club had a total of 900 members during the month of October. This means that
x + y = 900
The health clubs membership fee is $10 per month for students and $25 per month for all other members. They received a total of $18,000 in October. This means that
10x + 25y = 18000 - - - - - - - - - - -1
Substituting x = 900 - y into equation 1, it becomes
10(900 - y) + 25y = 18000
9000 - 10y + 25y = 18000
- 10y + 25y = 18000 - 9000
15y = 9000
y = 9000/15
y = 600
x = 900 - y = 900 - 600
x = 300
