# The capacity of the jug is 3.5 litres, correct to the nearest 0.1 litre. The capacity of a glass is 0.25 litres correct to the nearest 0.01 litre.Calculate the greatest number of glasses which you...

The capacity of the jug is 3.5 litres, correct to the nearest 0.1 litre.

The capacity of a glass is 0.25 litres correct to the nearest 0.01 litre.

Calculate the greatest number of glasses which you can be sure to fill from a full jug.

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### 2 Answers

The capacity of a jug is 3.5 l correct to the nearest 0.1 l. This places the volume of the jug between 3.50 l and 3.59 l

The capacity of a glass is 0.25 l correct to the nearest 0.01 l. This places the volume of a glass between 0.259 and 0.250 l

The maximum number of glasses that can surely be filled is equal to the whole number that lies just below 3.50/0.259.

3.50/0.259 = 13.51

**The required value of the greatest number of glasses that can be surely filled is 13.**

I have a problem... isn't this concerned with upper bounds and lower bounds?