SOLUTION: Each client does either one or the other (not both). On Monday there were 3 clients who did Plan A and 5 who did Plan B. On Tuesday there were 6 clients who did Plan A and 2 who d

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Each client does either one or the other (not both). On Monday there were 3 clients who did Plan A and 5 who did Plan B. On Tuesday there were 6 clients who did Plan A and 2 who d      Log On


   

Question 1147949: Each client does either one or the other (not both). On Monday there were 3 clients who did Plan A and 5 who did Plan B. On Tuesday there were 6 clients who did Plan A and 2 who did Plan B. Pablo trained his Monday clients for a total of 10 hours and his Tuesday clients for a total of 10 hours. How long does each of the workout plans last?
Answer by ikleyn(52834) About Me  (Show Source):
You can put this solution on YOUR website!
.

    3A +  5B = 10    (1)    (Monday)

    6A +  2B = 10    (2)    (Tuesday)


Multiply equation (1) by 2 (both sides).  Keep equation (2) as is.

You will get


    6A + 10B = 20    (1')    

    6A +  2B = 10    (2')    


Now subtract equation (2') from equation (1').

You will get

          8B = 10


Hence,  B = 10%2F8 = 5%2F4 hours = 1 hour and 15 minutes.


Then from equation (2),  2A = 10 - 6*(5/4}}} = 10 - 72%2F4 = 21%2F2 hours.


Hence,  A = 11%2F4 hours = 1 hour and 15 minutes.


ANSWER.  Both plans A and B are  1 hour and 15 minutes each for every individual client.

Solved.