half of the volume of the milk and water mixture of ratio 7:5 is converted into a mixture of ratio 3:1 by the substitution(or replacement method) the mixture of ratio 7:5 was formed from the mixture 7:3 by adding the water in it. if 240 L milk is required in the replacement method ,what it the total amount of water was added t6o prepare the mixture 7:5 ?
Answers
200 Litre Water was added to prepare the mixture 7 : 5
Step-by-step explanation:
Let say 7x Milk & 5x water
Total Mixture
= 12x
Half of mixture = 6x
Milk = 3.5x
Water = 2.5x
Converted into 3 :1
Hence milk = (3/4)6x = 4.5x
Milk increased = x
Let say M litre milk was required in replacement method
Then Milk Removed = (7/12)M
& Milk added = M
Net milk added = M - (7/12)M = 5M/12
5M/12 = x
=> 5M = 12x
=> M = 12x/5
M = 240 L
=> 240 = 12x/5
=> 12x = 1200
7: 5 mixture was = 1200 Litre
Milk = 700 Litre
Water = 500 Litre
7:3 converted into 7 : 5 by adding water
700 litre milk was there in 7 : 3 ratio
=> 300 Litre water was initially in mixture
Hence 200 Litre Water was added to prepare the mixture 7 : 5
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