Question

Green's Gym charges a one-time application fee of $50 plus $30 per session for a personal trainer. Breakout Gym charges an annual fee of $250 plus $10 for each session with a trainer. For how many sessions is the cost of the two plans the same? Write and solve an equation to represent this problem. Make sure to create a let statement: Example: Let s = number of gym sessions.

Answer 1

10 sessions

Explanation:

let s be the number of gym session

and let y be the cost

the cost can be represented as

y=ms+c

given data

Green's Gym

c=$50

m=$30

y=30s+50------------1

Breakout Gym

c=$250

m=$10

y=10s+250------------2

equating 1 and 2 we can find s, which is the number of session

30s+50=10s+250

30s-10s=250-50

20s=200

s=200/20

s=10

therefore the number of session is 10