A large water bottle holds 25 litres of water correct to the nearest liter. A drinking glass holds 0.3 litres correct to the nearest 0.1 litres Calculate the lower bound for the number of glasses of water which can be filled from the bottle

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This question is solved using rounding and proportion concepts.

  • Using this, we find that: the lower bound for the number of glasses of water which can be filled from the bottle is 100.

A drinking glass holds 0.3 litres correct to the nearest 0.1 litres

This means that, with 2 decimal places, the drinking glass holds between 0.25 litres and 0.34 litres.

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Calculate the lower bound for the number of glasses of water which can be filled from the bottle

For the lower bound, we consider that 1 glass holds 0.25 litres, and want to find how many glasses are needed for 25 litres. So

1 glass - 0.25 litres

x glasses  - 25 litres

Applying cross multiplication:

[tex]0.25x = 25[/tex]

[tex]x = \frac{25}{0.25} = 100[/tex]

Thus, the lower bound for the number of glasses of water which can be filled from the bottle is 100.

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