Question

1 - Four vessels have equal capacities. The
ratio of the quantities of water in them is
3: 4: 5: 6. The total quantity of water in
them is 60% of the total capacity of the
vessels. How many vessels have atleast
60% water ?​

Answer 1

Step-by-step explanation:

Let the capacity of each vessel be 10 litres.

The total quantity of milk = 10x4*60/100 = 24 litres.

Let the individual vessels contain 3x, 4x, 5x, 6x, litres.

3x+4x+5x+6x+ = 18x = 24, or x = 24/18 = 4/3 = 1.3

So the vessels contain 1.3×3=3.9litres, 1.3×4=5.2 litres, 1.3×5=6.5 litres, 1.3×6=7.8 litres respectively.

60% of each vessel would be 6 litres.

So 2 vessels have more than 60% (that is 6.5 litres, 7.8 litres) while 2 vessels have less than 60% milk (that is 3.9 litres and 5.2 litres) in them.