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Ratio of milk and water in two vessels a and b is 3:5 and 1:3 respectively . In wjat ratio they must be mixed so resultant solution may contain half milk and half water? |
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Answer» Answer: 2:1 Step-by-step EXPLANATION: Vessel A MILK & water= 3/8 & 5/8 Vessel B milk & water= 1/4 & 3/4 Now milk & water mixed in we get half milk and half water . Then, 3x/8+ y/4= 1/2..............(1) 5x/8 + 3y/4= 1/2 .............(2) solving both (3x+2y)= 4..............(1) 5x+6y= 4................(2) multiply EQUATION 1 by 3 9x+6y=12 5x+6y=4 now SUBTRACT (2) from equation (1) 4x=8 x=2 then y = 1 Therefore ratio is 2:1 |
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