Question

Green's Gym charges a one time fee of $50 plus $30 per

session for a personal trainer. A new fitness center charges a
yearly fee of $250 plus $10 for each session with a trainer. For
how many sessions is the cost of the two plans the same?

Answer 1

10 sessions

Explanation:

let s be the number of gym session s

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 sessions is 10

Hope this helped. :)

Answer 2

After 10 session with personal trainer the cost of both gym plans would be same.

Step-by-step explanation:

Let number of session with the trainer be 's'.

Given:

Get fit gym Plan:

Yearly fee = $250

Each session with personal trainer = $10

So we can say that;

Total Cost after 's' session will be equal to Yearly fee plus Each session with personal trainer multiplied by number of session with the trainer

framing in equation form we get;

Total Cost = 250+10s

Tight N' Toned gym Plan:

One time fee = $50

Each session with personal trainer = $30

So we can say that;

Total Cost after 's' session will be equal to One time fee plus Each session with personal trainer multiplied by number of session with the trainer

framing in equation form we get;

Total Cost = 50+30s

We need to find the number sessions after which cost of the two plans will be the same.

To find the number sessions after which cost of the two plans will be the same we will make both the equations equal we get;

250+10s = 50+30s

Combining like terms we get;

30s-10s = 250-50

20s = 200

Now dividing both side by 20 we get;

20s/20 = 200/20

s = 10

Hence after 10 session with personal trainer the cost of both gym plans would be same.