Suzie just became a personal trainer and is finalizing her pricing plans. One plan is to charge $59 for the initial consultation and then $86 per session. Another plan is to charge $63 for the consultation and $84 per session. Suzie realizes that the two plans have the same cost for a certain number of sessions. What is that cost? How many sessions is that?

2 sessions, $231

Step-by-step explanation:

Make an equation (let x represent the number of sessions)

59+86x=63+84x

Subtract 84x from both sides

59+2x=63

Subtract 59 from both sides

2x=4

Divide by 2

x=2

At 2 sessions they will be equal

To find the cost, substitute 2 in for x

59+86(2)=63+84(2)

59+172=63+168

231=231

So, at 2 sessions the plans will cost the same at $231

Hope this helps! :)

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step-by-step explanation:

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