Three casks of equal capacities contain three liquids a, b & c in the ratio 1 : 2 : 3, 3 : 4 : 5 & 5 : 6 : 7 respectively. the mixtures from these casks are taken in the ratio 1 : 2 : 3 and poured into a 4th cask with the same capacity as that of the three casks and the cask is completely filled. what is the ratio of the liquids a, b and c in the resulting mixture?
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here assume capacity of casks is 36
so first cask contain a,b&c in 6:12:18
similarly in second cask it is 9:12:15
third one have 10:12:14
now they said that 4th cask is completely filled so it also have 36 capacity
and ratio of meterial from first,second and third is 6:12:18
so from first cask 6 containg 1of a ,2of b & 3of c
similarly from second cask we poured 12 and that contains 3of a, 4 of b& 5of c.
from third cask we poured 18 and that contains 5 of a,6 of b & 7 of c.
so we can see that in the 4th cask we have 1+3+5 of a , 2+4+6 of b & 3+5+7 of c.
ratio be 9:12:15 = 3:4:5.
so first cask contain a,b&c in 6:12:18
similarly in second cask it is 9:12:15
third one have 10:12:14
now they said that 4th cask is completely filled so it also have 36 capacity
and ratio of meterial from first,second and third is 6:12:18
so from first cask 6 containg 1of a ,2of b & 3of c
similarly from second cask we poured 12 and that contains 3of a, 4 of b& 5of c.
from third cask we poured 18 and that contains 5 of a,6 of b & 7 of c.
so we can see that in the 4th cask we have 1+3+5 of a , 2+4+6 of b & 3+5+7 of c.
ratio be 9:12:15 = 3:4:5.
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