SOLUTION: a gym has two kinds of memberships. Plan A charges $70 a year plus $2 per visit. Plan B charges $10 a year plus $6 per visit. how many visits to the gym are necessary for the cost

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: a gym has two kinds of memberships. Plan A charges $70 a year plus $2 per visit. Plan B charges $10 a year plus $6 per visit. how many visits to the gym are necessary for the cost       Log On


   

Question 987515: a gym has two kinds of memberships. Plan A charges $70 a year plus $2 per visit. Plan B charges $10 a year plus $6 per visit. how many visits to the gym are necessary for the cost of Plan A to be the same as the cost of Plan B? write a system and solve it.
Answer by algebrahouse.com(1659) About Me  (Show Source):
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Plan A
C = 2v + 70 {charges $70 per year plus $2 per visit}

Plan B
C = 6v + 10 {charges $10 per year plus $6 per visit}

2v + 70 = 6v + 10 {set them equal to determine how many visits are necessary for A to be the same as B}
70 = 4v + 10 {subtracted 2v from each side}
60 = 4v {subtracted 10 from each side}
v = 15 {divided each side by 4}

15 visits are necessary for Plan A to be the same as Plan B

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