A movie club charges a one-time fee of $25 which allows members to purchase movies for $7 each. Another club does not charge a fee and sells movies for $12 each. How many movies must a member purchase for the cost of the two clubs to be equal?

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Answer 1 · 2018-07-06T04:15:12

#5# movies

Given: A movie club, one time fee #= $25#, movies #= $7#
#" "#2nd club, #$0# fee, movies #= $12#

Cost equations for each club:

club 1: #" "C_1 = 25 + 7M#

club 2: #" "C_2 = 12M#

For the clubs cost to be equal: #C_1 = C_2#

#25 + 7M = 12M#

Subtract #7M# from both sides:

#25 = 5 M#

Divide by #5#: #M = 25/5 = 5#

#5# movies

CHECK:
#C_1 = 25 + 7*5 = 25 + 35 = $60#

#C_2 = 12*5 = $60#