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How Many Liters Of Water Should Be Added To A 30 Liter Mixture, Containing Milk And Water In The Ratio 7:3 Such That The Resultant Mixture Has 40 % Water In It? |
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Answer» Given: 30 Liters of MIXTURE, Milk and water in the ratio 7 : 3 Which means, we have 21 liters of milk and 9 liters of water. We add water the resulting solution is 21 liters of milk and 9 + X liters of water. Total quantity = 30 +x. Water percentage is 40 % = > 40 x (30+x)/100 = 9 + x =>4(30+x) = 10(9+x) => 10x - 4x = 120-90 =>6x = 30 => x = 5 Thus the quantity of water added = 5 liters Given: 30 Liters of mixture, Milk and water in the ratio 7 : 3 Which means, we have 21 liters of milk and 9 liters of water. We add water the resulting solution is 21 liters of milk and 9 + x liters of water. Total quantity = 30 +x. Water percentage is 40 % = > 40 x (30+x)/100 = 9 + x =>4(30+x) = 10(9+x) => 120 + 4x = 90 + 10x => 10x - 4x = 120-90 =>6x = 30 => x = 5 Thus the quantity of water added = 5 liters |
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