Question 1070554
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Let x be the amount invested by B.
Then A invested {{{(2/3)x}}}, according to the condition.

The total profit equation is 

{{{x + (2/3)x}}} = 3600  --->  {{{(5/3)x}}} = 3600  --->  x = {{{(3/5)*3600}}} = 2160.


<U>Answer</U>.  B should receive 2160 dollars.   A should receive 3600 - 2160 = 1440 dollars.

<U>Check</U>.   {{{1440/2160)}}} = {{{2/3}}}.   Correct.
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The solution by the other tutor is wrong.