Problema Solution

Two different golf country clubs have the following membership fees and monthly costs. Ludwig's Fast 18 charges $100 membership fee and then $30 a month. Ocean Shore Country Club charges a $160 membership fee and then $10 a month. Find the number of months you must be a member to have the same cost for each cost.

Answer provided by our tutors

Let 'x' represent the number of months, x>=0.

For x months Ludwig's Fast 18 will charge: 100 + 30x

For x months Ocean Shore Country Club will charge: 160 + 10x

We need to find x such that the two clubs charge the same, that is:

100 + 30x = 160 + 10x

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click here to see the equation solved for x

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x = 3 months

Both clubs will charge the same cost if you are a member for 3 months.