Question 1100453
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K + M = 480,      (1)

{{{(1/2)*K}}} = {{{(1/3)*M}}}     (2)   (after their losses)

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K = {{{(2/3)*M}}}.     Substitute it into eq(1). You will get


{{{(2/3)*M}}} + M = 480  ====>  {{{(5/3)*M}}} = 480  ====>  M = {{{(480*3)/5}}} = 288.


Then K = {{{(2/3)*M}}} = {{{(2/3)*288}}} = 192.


<U>Check</U>.  a)  288 + 192 = 480   ! Correct !

        b)  {{{(1/2)*K}}} = {{{(1/2)*192}}} = 96;   

            {{{(1/3)*M}}} = {{{(1/3)*288}}} = 96.  ! Correct !


<U>Answer</U>.  K = 192,  M = 288.
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