**Question is Incomplete;Complete question is given below;**

Get fit gym charges a yearly fee of $250 plus $10 for each session with a personal trainer. Tight N' Toned gym charges a one time fee of $50 plus $30 per session for a personal trainer. For how many sessions is the cost of the two plans the same?

**Answer:**

**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 =

**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 =

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;**

**Combining like terms we get;**

**Now dividing both side by 20 we get;**

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