Question 1198605
Karen the trainer has two solo workout plans that she offers her clients: Plan A and Plan B. Each client does either one or the other (not both). On Monday there were 
8
 clients who did Plan A and 
3
 who did Plan B. On Tuesday there were 
2
 clients who did Plan A and 
5
 who did Plan B. Karen trained her Monday clients for a total of 
15
 hours and her Tuesday clients for a total of 
8
 hours. How long does each of the workout plans last?
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        Your formatting is terrible, and to read it is a torture.



<pre>
Write equation as you read the problem

    8a + 3b = 15   hours    (1)

    2a + 5b =  8   hours    (2)


To solve, multiply equation (2) by 4; then subtract from equation (1) (the Elimination method).

You will get then, after canceling, simple equation for single unknown

    3b - 20b = 15 - 32,

or

      -17b  = - -17,

         b = 1.


Knowing "b", you find "a" from equation (2)

    2a + 5*1 = 8,

    2a       = 8 - 5 = 3

     a               = 3/2 = 1.5.

    
<U>ANSWER</U>. 1 hour for Plan A and 1.5 hours for Plan B.
</pre>

Solved.


Please do not post in this format anymore.