Question

The volumes of the water in two containers, X and Y,were in the ratio4:3. When 75cm3 of water was poured out from X and another 103cm3 of water was poured into Y, the volumes in X and Y became equal. How much water was there in container X at first

Answer 1

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Three containers have their volumes in the ratio 3:4:5. They are full of mixtures of milk and water. The mixtures contain milk and water in the ratio of (4:1),(3:1)and(5:2), respectively. The ratio of milk and water in the fourth container contains all the above three mixtures is

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Solution

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Correct option is C)

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

Container with volume 3x:

Milk =

4+1

4

×3x

Water =

4+1

1

×3x

Container with volume 4x:

Milk =

3+1

3

×4x

Water =

3+1

1

×4x

Container with volume 5x:

Milk =

5+2

5

×5x

Water =

5+2

2

×5x

Total milk =

5

12

x+

4

12

x+

7

25

x=

140

1256

x

Total water =

5

3

x+

4

4

x+

7

10

x=

140

424

x

Ratio of milk to water in 4th container =

424

1256

=157:53

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