15 litres of a mixture contains alcohol and water
in the ratio 1:4. If 3 litres of water is mixed in it,
the percentage of alcohol in the new mixture will
be
Answers
Answer:
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Answer:
→ 16⅔%
Step-by-step explanation:
Given ratio :
In a mixture of 15 litres the ratio of
→ Alcohol : Water
→ 1 : 4
Now, if 3 litres lf water is mixed in the mixture.
Find the % of alcohol in the new mixture.
Step 1 : Calculate the amount of water and alcohol :
If we assume the unit of ratio as “a”
We can say that,
→ 1a + 4a = 15 litres.
Or,
→ 5a = 15
→ a = 3 litres
Therefore, each unit is 3 litres.
So,
The amount of alcohol is 3 litres.
And also, the amount of water is 12 litres.
Step 2 : 3 litres of water adds up in the mixture :
The amount of water now will be :
→ 15 + 3 litres
→ 18 litres.
Step 3 : Calculate the required % :
Required% is given by :
→ Amount of alcohol/New mixture × 100
→ 3/18 × 100
→ 1/6 × 100
→ 50/3
→ 16⅔%