SOLUTION: A part-time gym membership costs one-quarter of the cost of a full-time gym membership. We have 20 part-time members and 30 full-time members. We know that the monthly amount that

Question 830862: A part-time gym membership costs one-quarter of the cost of a full-time gym membership. We have 20 part-time members and 30 full-time members. We know that the monthly amount that the gym collects from its members is $7000. What is the cost of a full-time membership?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A part-time gym membership costs one-quarter of the cost of a full-time gym membership. We have 20 part-time members and 30 full-time members. We know that the monthly amount that the gym collects from its members is $7000. What is the cost of a full-time membership?
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Equations:
Value:: p = (1/4)f
Value:: 20p + 30f = 7000
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Substitute for "P" and solve for "f":
20(1/4)f + 30f = 7000
5f + 30f = 7000
35f = 7000
f = $200 (cost of a full-time membership)
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Cheers,
Stan H.
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