SOLUTION: The figure above shows a right circular cylindrical vessel that is exactly one-quarter full. If 7 liters of liquid are added, the vessel will be exactly three-fifths full. What

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Question 553655:
The figure above shows a right circular cylindrical vessel that is exactly one-quarter full. If 7 liters of liquid are added, the vessel will be exactly three-fifths full. What is the total capacity of the vessel, in liters?
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
If x = the total capacity of the cylindrical vessel in liters, then:
%281%2F4%29x%2B7+=+%283%2F5%29x Simplify and solve for x. Multiply through by 20 to clear the fractions.
20%281%2F4%29x%2B20%287%29+=+20%283%2F5%29x Simplify.
5x%2B140+=+12x Subtract 5x from both sides.
140+=+7x Divide by 7.
20+=+x
The total capacity is 20 liters.