Question

Miranda wants to join Kick Start Gym and they have two plans she can choose from. Plan A will cost $12 per month plus a $130 joining fee. Plan B does not have a joining fee, but will cost $25 per month. Write and solve an equation to find the number of months for which the cost of each plan is equal.

Answer 1

Answer: 10

Step-by-step explanation:

Cost of any plan = Joining fee + (Per month fee ) × (number of months )

Let x be the number of months for which the cost of each plan is equal.

Cost of plan A =  130 + 12 x

Cost of plan B = 0+ 25x = 25x

According to the question,

$25x = 130+12x\\\\\Rightarrow 25x-12x=130\\\\\Rightarrow\ 13x=130\\\\\Rightarrow\ x=\dfrac{130}{13}\\\\\Rightarrow\ x=10$

Hence, the number of months for which the cost of each plan is equal is 10.