Question

The ratio of the volumes of three buckets is 3:4:5. Buckets contain the mixture of water and alcohol. If the mixture contains water and alcohol in the ratio 1:4 , 1:3, 2:5 respectively, then find the ratio of water and alcohol when the mixture in all containers is poured into a fourth container.

Answer 1

$\frac{3}{4} \times \frac{3x + 4x}{3} + \frac{3}{5} \times 5x$
$y = \frac{79}{144}$
alcohol to water

Answer 2

Answer:

The answer is 157:53.

Step-by-step explanation:

Let the volumes be 3x,4x,5x respectively.

Container with volume 3x:  

Alcohol = (4/4+1)*3x

Water = (1/4+1)*3x

Container with volume 4x:

Alcohol = (3/1+3)*4x            

Water = (1/3+1)*4x

Container with volume 5x:

Alcohol = (5/2+5)*5x

Water = (2/5+2)*5x

Total Alcohol = 12x/5 + 12x/4 + 25x/7 = 1256x/140

Total Water = 3x/5+ 4x/4 + 10x/7 = 424x/140

Therefore, the ratio of milk to water in 4th container = 1256/424 = 157:53

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