SOLUTION: 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 cabine

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Question 1190919: 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?
Found 3 solutions by ikleyn, greenestamps, Alan3354:
Answer by ikleyn(52835) About Me  (Show Source):
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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 %284%2F5%29x.


From the condition, we have this equation


    x + %284%2F5%29x = 36  cubic feet   (the total volume).

or

    %285%2F5%29x + %284%2F5%29x = 36

    %28%285%2B4%29%2F5%29x = 36

    %289%2F5%29x = 36

    x = %285%2F9%29%2A36 = 5*4 = 20  cubic feet.


Thus, the second part volume is 20 cubic feet;  the first part volume is  %284%2F5%29%2A20 = 16 cubic feet.    ANSWER


CHECK.  20 + 16 = 36  cubic feet, the total volume.    ! correct !

Solved.



Answer by greenestamps(13203) About Me  (Show Source):
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Another way to set up the problem for solving, without fractions....

Given that the volume of the left cabinet is 4/5 the volume of the right cabinet, let the volumes of the two cabinets be 4x and 5x. Then

4x+5x=36
9x=36
x=4

ANSWER: The volumes of the two cabinets are 4x=16 and 5x=20 cubic feet.

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
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?
========================
L = (4/5)R
L + R = 36
---
(4R/5) + R = 36
9R/5 = 36
9R = 180
R = 20
L = 16
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