Question

Kendall just became a personal trainer and is finalizing her pricing plans. One plan is to charge $37 for the initial consultation and then $33 per session. Another plan is to charge $101 for the consultation and $32 per session. Kendall realizes that the two plans have the same cost for a certain number of sessions. How many sessions is that? What is that cost?

Answer 1

Answer:

The 2 Plan will have same cost of $2149 after 64 sessions.

Step-by-step explanation:

Given;

Let the Two plan be Plan A and Plan B.

Also let the number of session be $x$

According to given detail

Plan A = $\ 37+33x$

Plan B =$\ 101+32x$

We need to find the value of when both are equal.

Plan A = Plan B

$\ 37+33x$ = $\ 101+32x$

Solving above equation we get;

$33x-32x=101-37\\x=64$

Number of session are 64.

Cost after 64 session will be,

Plan A = $\ 37+\ 33x=\ 37+\ 33\times 64 = \ 37+\ 2112 = \ 2149$

Plan B =$\ 101+\ 32x=\ 101+\ 32\times 64 = \ 101+\ 2048 = \ 2149$

Hence The 2 Plan will have same cost of $2149 after 64 sessions.