Question

There are five identical glasses containing milk in
the ratio 3: 4:5:6:7. How many glasses are at
least half full of milk if the total volume of milk in the
glasses is three-fifth of the total volume of the five
glasses?​

Answer 1

Answer:

3 vessels have more than 64% (that is 7.5 litres, 8.75 litres and 10 litres) while 2 vessels have less than 64% milk (that is 5 litres and 6.25 litres) in them.

Step-by-step explanation:

Let the capacity of each vessel be 10 litres.

The total quantity of milk = 10x5*75/100 = 37.5 litres.

Let the individual vessels contain 4x, 5x, 6x, 7x and 8x litres.

4x+5x+6x+7x+8x = 30x = 37.5, or x = 37.5/30 = 1.25

So the vessels contain 5 litres, 6.25 litres, 7.5 litres, 8.75 litres and 10 litres, respectively.

64% of each vessel would be 6.4 litres.

So 3 vessels have more than 64% (that is 7.5 litres, 8.75 litres and 10 litres) while 2 vessels have less than 64% milk (that is 5 litres and 6.25 litres) in them.

Hence proven

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