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# help

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a mixture contains milk and water in the ratio 5 : 3. if 4 liters of this mixture is replaced ( from 20 liter) by 4 liters of milk then the ratio of milk to water in new mixture will be:

May 15, 2020

#1
+31502
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5 out of (5+3)  = 5/8 is milk

5 /8 x 20 = 12.5   is milk

remove 4 liters of mix     remove   5/8 x 4 = 2.5 liters milk

now there is 10 liters of milk..... now add 4 liters milk    then there is 14 liters of milk

and 6 liters of water

14:6 =    7:3

May 15, 2020
edited by ElectricPavlov  May 15, 2020
#2
+22020
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Currently, the ratio of milk to water is 5:3. This means that 5/8ths of the mixture is milk.

If you pour out 4 liters from 20 liters, you now have 16 liters.

If 5/8ths of this mixture is milk, (5/8) x 16 liters is 10 liters of milk.

To these 10 liters of milk and 6 liters of water, you add 4 liters of milk.

You now have a mixture of 14 liters of milk and 6 liters of water.

This gives a ratio of 14:6 or 7:3 of milk to water.

May 15, 2020