Two equal glasses are respectively 1/5th and 1/6th full of milk , they are then filled up with water and the contents are mixed in a tumbler . Find the ratio of milk to water in the tumbler.
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Answer:
11 : 49
Step-by-step explanation:
Let the capacity of each of the two glasses be X
Let's name the glasses as A and B
Consider for glass A ,
milk is 1/5 th of total capacity , hence milk = x/5
water = x - x/5 = 4x/5
Consider for glass B,
milk is 1/6 th of total capacity, hence milk = x/6
water = x - x/6 = 5x/6
Now if contents of two glasses are mixed in a pot then
Total milk in pot = x/5 + x/6 = 11x/30
Total water in pot = 4x/5 + 5x/6 = 49x/30
Ratio of milk to water in the pot = ( 11x/30 ) / ( 49x/30 )
= 11 : 49
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