A health clubs membership fee is $10 per month for students and $25 per month for all other members. The health club had a total

Question

2 years ago

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A health clubs membership fee is $10 per month for students and $25 per month for all other members. The health club had a total

of 900 members during the month of october and received a total of $18,000 in memberships. How many students were members of the health club during the month of october brainly

Mathematics

2 answers:

Svetradugi [14.3K] · Answer 1 · 2022-08-24T14:18:53+03:00

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