24 litre of alcohol is mixed with 72 litre of water. x litre of mixture is taken out and 16 litre of alcohol and 24 litre of water is added to the mixture. The final mixture contains 30% alcohol. Find the quantity of mixture that is taken out
Answers
16 Litre of mixture is taken out
Step-by-step explanation:
24 litre of alcohol is mixed with 72 litre of water
=> Total = 24 + 72 = 96 litre
x litre of mixture is taken out
=> Water taken out = (72/96) * x = 3x/4 litre
Alcohol taken out = (24/96)*x = x/4 litre
Alcohol added = 16 litre
Water added = 24 litre
Now alcohol = 24 - x/4 + 16 = 40 - x/4 = (160 - x)/4
Total Solution = ( 96 - x + 16 + 24) = 136 - x
The final mixture contains 30% alcohol
=> 30 = 100 * ((160 - x)/4) / (136 - x)
=> 12(136 - x) = 10(160 - x)
=> 6(136 - x) = 5(160 -x)
=> 816 - 6x = 800 - 5x
=> x = 16
16 Litre of mixture is taken out
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Answer:
Step-by-step explanation: