SOLUTION: Two vessels contain mixture of alcohol and water. In one there is three times as much as alcohol as water; in the other, five times as much water as alcohol. How much must be drawn
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Question 767063: Two vessels contain mixture of alcohol and water. In one there is three times as much as alcohol as water; in the other, five times as much water as alcohol. How much must be drawn off from each to fill a third vessel which holds 7 gallons, in order that its contents may be half alcohol and half water?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = gallons of mixture to be drawn off
from the 3:1 alcohol to water mixture
Let = gallons of mixture to be drawn off
from the 1:5 alcohol to water mixture
--------------------------------
of will be alcohol
of will be alcohol
-----------------------------
(1)
(2)
--------------------------------
(2)
Multiply both sides by
(2)
Multiply both sides of (1) by and
subtract (1) from (2)
---------------------
I have to run- solve for
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