how much pure alcohol should added to 400 ml of strength 15% to make its strength 32%? plzz answer
Answers
Solution:-
Let the required number of milliliters of alcohols be x ml.
Given 15 % of 400 ml should be added with 100 % of pure alcohol.
Hence 400(15 %) + x(100 %) = (400+x) (32 %)
⇒ 400 × 15/100 + x = (400 + x) × (32/100)
⇒ 60 + x = 128 + (8x/25)
⇒ x - 8x/25 = 128 - 60
⇒ 17x/25 = 68
⇒ x = (68 × 25)/17
⇒ x = 1700/17
x = 100 ml Answer
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Hi mate,
Solution :
=> Volume of alcohol in 400 ml solution
➾ 0.15 × 400 ml
=> Volume of alcohol in 400 ml solution
➾ 60 ml
=> Volume of others liquid
➾ 340 ml
=> Let x ml of alcohol is added to make it 32% strong
=> Then, volume of alcohol
➾ 60+x ml
=> Volume of other liquid
➾ 340 ml
=> Volume of solution
➾ 400 + x ml
➾ 0.32 × (400 + x) = 60 + x
➾ 128 + 0.32x = 60 + x
➾ 0.68x = 68
➾ 68x = 6800
➾ x = 100 ml ...
Answer : 100 ml pure alcohol must be added to 400ml of a 15% solution to make it's strength 32%
i hope it helps you