For $360, a rock-climbing gym offers a yearly membership where members can climb as many days as they want and pay $4 per day for equipment rental. Nonmembers pay $10 per day to use the gym and $6 per day for equipment rental. Find the total number of visits when the cost for a member and nonmember will be the same.

Question

Mathematics

Cadence

24 May, 23:00

For $360, a rock-climbing gym offers a yearly membership where members can climb as many days as they want and pay $4 per day for equipment rental. Nonmembers pay $10 per day to use the gym and $6 per day for equipment rental. Find the total number of visits when the cost for a member and nonmember will be the same.

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Answers (1)

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Manuel Marks · Answer 1

If after x day of their visit, non-member and member pays the same

360+4x=16x

360=12x

x=30

After 30 days they visit, they will spend the same amount.