There are 2 bottles containing a mixture of wine, water and alcohol. the first bottle contains wine, water and alcohol in the ratio 3:5:2. the second bottle contains water and wine in the ratio 5:4. 1 litre of the first and 2 litres of the second are mixed together. what fraction of the mixture is alcohol?
Answers
Answer:
1/15
Step-by-step explanation:
There are 2 bottles containing a mixture of wine, water and alcohol. the first bottle contains wine, water and alcohol in the ratio 3:5:2. the second bottle contains water and wine in the ratio 5:4. 1 litre of the first and 2 litres of the second are mixed together. what fraction of the mixture is alcohol?
Bottle 1
Wine : water : Alcohol ::: 3 : 5 : 2
3 + 5 + 2 = 10 , 1 Litre of first bottle is taken
Wine = 3/10 * 1 Litre = 0.3 Litre
Water = 0.5 Litre
Alcohol = 0.2 Litre
Bottle 2
Water : Wine :: 5 : 4
5 + 4 = 9 , 2 Litre of Bottle is taken
Water = (5/9) * 2 = 10/9 Litre
Wine = (4/9) * 2 = 8/9 Litre
Total alochol = 0.2 Litre
Total Mixture = 1 + 2 = 3 Litre
Alochol / Mixture = 0.2/3 = 2/30 = 1/15
1/15 fraction of mixture is alcohol