the percentage of alcohol in two wine tanks is 20% and 40% respectively and rest is a grape juice.If a wine glass is filled to its half by the tank 1 and 2 in the ratio of 2:3 and the rest is filled again by pure alcohol then what is the ratio of the grape juice to alcohol in the wine galss.
Answers
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The grape juice to alcohol ration in the wine glass is 17:33.
Step-by-step explanation:
Given:
In two wine tanks the percentage of alcohol is is 20% and 40% respectively and rest is a grape juice.
By the tank 1 and 2 in the ratio of 2:3 a wine glass is filled to its half and the rest is filled again with pure alcohol.
To Find:
The grape juice to alcohol ratio in the wine glass.
Formula Used:
the ratio of any two quantities is defined as;
p: q = p/q
Solution:
As given - In two wine tanks the percentage of alcohol is is 20% and 40% respectively and rest is a grape juice.
1st tank 20% alcohol and 80% juice.
2nd tank : 40% alcohol and 60% juice.
As given - by the tank 1 and 2 in the ratio of 2:3 a wine glass is filled to its half and the rest is filled again by pure alcohol.
A wine glass contain ½ pure alcohol
And is filled by the tank 1 and 2 in the ratio of 2:3
(2/5)(1/2) 80% juice = 4/25
(3/5)(1/2) 60% juice = 9/50
Total juice = 4/25 + 9/50 = 17/50.
Alcohol = 1 - 17/50 = 33/50
The ratio of the grape juice to alcohol ratio: 17:33
Thus, The ratio of the grape juice to alcohol ratio: 17:33