Hey!

Hope this helps….

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Given Information:

No client can do both Plans

On Wednesday: **3** clients did Plan A, and **2** clients did Plan B

On Thursday: **5** clients did Plan A, and **6** clients did Plan B

Keiko was training for a total of 6 hours on Wednesday, and training for a total of 12 hours on Thursday

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We’ll let **t** stand for length of time

Wednesday:

3t + 2t = 6

5t = 6

t = 1.2 hours > translates to **1 hour, and 12 minutes**

On Wednesday, she was with her clients individually for **1 hour and 12 minutes**

Thursday:

5t + 6t = 12

11t = 12

t ~ 1.1 hours > translates to about **1 hour and 6 minutes**

On Thursday, she was with her clients individually for about **1 hour and 6 minutes**

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We’ll let **A** stand for total length of time for Plan A, and **B** stand for total length of time for Plan B

We’ll let **W** stand for Wednesday, and T stand for Thursday…

We’ll let **z** stand for total amount of clients for that plan…

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We know, for Plan A, on Wednesday there were 3 clients, and Thursday there were 5 clients

We also know for Plan B, on Wednesday there were 2 clients, and Thursday there were 6 clients

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(3W + 5T)/z = A

(3(1.2) + 5(1.1))/8 = A

(3.6 + 5.5)/8 = A

9.1/8 = A

**Plan A = 1.1375 hours > 1 hour 8 minutes 15 seconds**

(2W + 6T )/z ~ B

(2(1.2) + 6(1.1))/8 ~ B

(2.4 + 6.6)/8 ~ B

9/8 ~ B

**Plan B ~ 1.125 hours > 1 hour 7 minutes 30 seconds**

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When ever the symbol ” **~** ” is used in an equation, it stands for “About”…

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Sorry for the mess up before….