Question 1190919
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A cabinet is composed of two jointed parts. The left is 4/5 the volume of the right. 
The total volume of the cabinet is 36 cubic feet. What is the volume of each part of the cabinet?
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Let x be the volume of the second part.

Then the volume of the first part is {{{(4/5)x}}}.


From the condition, we have this equation


    x + {{{(4/5)x}}} = 36  cubic feet   (the total volume).

or

    {{{(5/5)x}}} + {{{(4/5)x}}} = 36

    {{{((5+4)/5)x}}} = 36

    {{{(9/5)x}}} = 36

    x = {{{(5/9)*36}}} = 5*4 = 20  cubic feet.


Thus, the second part volume is 20 cubic feet;  the first part volume is  {{{(4/5)*20}}} = 16 cubic feet.    <U>ANSWER</U>


<U>CHECK</U>.  20 + 16 = 36  cubic feet, the total volume.    ! correct !
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Solved.