SOLUTION: The figure 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?

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Question 982416: The figure 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?
Found 2 solutions by ankor@dixie-net.com, Edwin McCravy:
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
The figure 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?
: \
let x = total capacity of the vessel
then
1%2F4x + 7 = 3%2F5x
multiply equation by 20, cancel the denominators, you have:
5x + 20(7) = 4(3x)
140 = 12x - 5x
140 = 7x
x = 140/7
x = 20 liters is total capacity
:
:
Check this
1%2F4(20) + 7 = 3%2F5(20)
5 + 7 = 12

Answer by Edwin McCravy(20055) About Me  (Show Source):
You can put this solution on YOUR website!
expr%281%2F4%29x%2B7%22%22=%22%22expr%283%2F5%29x

Solve that for x.  Begin by clearing of fractions by
multiplying through by the least common denominator of 4 and 5.

Edwin