Kelly joins Powerhouse Gym. The cost is $30 per month and a one-time $100 joining fee. Lisa joins MegaMuscle Gym for $35 per month and a $50 joining fee. In how many months will Lisa have paid more than Kelly?
A)
10 months
B)
11 months
C)
8 months
D)
2 months

Question

Kelly joins Powerhouse Gym. The cost is $30 per month and a one-time $100 joining fee. Lisa joins MegaMuscle Gym for $35 per month and a $50 joining fee. In how many months will Lisa have paid more than Kelly?
A)
10 months	
B)
11 months	
C)
8 months	
D)
2 months

anonymous · Answer

set this up as a system of equations

basically you have to realize that you want to create an equation for each girl for how much they pay.


Kelly is K = 30*m + 100, where 'm' is the number of months Kelly has been part of the gym and 'K' is the amount Kelly has paid

Lisa is L = 35*m + 50, where 'm' is the number of months Lisa has been part of the gym and 'L' is the amount Lisa has paid

now set those two equations equations equal to each other to find out how many months it would take for Lisa to have paid as much as Kelly.

so basically, solve:
$$30m + 100 = 35m + 50$$
for 'm'

anonymous · Answer

im really bad at this but is it 2 months

anonymous · Answer

its 11 months