Answer: The break even point is after 5 months.
First, we need to set up an equation for each plan.
Harry's Health Club can be y = 20x + 75 because it starts at 75 and increase 20 per month.
Fiona's Fitness can be just y = 35x because it is just 35 per month.
Set the equation equal to each other and solve.
20x + 75 = 35x
75 = 15x
5 = x