preppingGRE6758 wrote:

The solution makes sense, but I'm wondering, why doesn't the following solution work?

The height of the tank is 270, and 10% of 270 is 27. Therefore, if we fill up water to the height of 270-27=243, we will have 10% of the height left when the water freezes.

You can test ypur soultion.

We know volume increases by 10% when frozen so if the water level was 243 then frozen water level would be 243 + 10% of 243 = 267.3. This is less than 270.

The reason for this is you need to look at the base for percentage. For example

10% of 100 is 10. So if we add we get 110.

But 10% of 110 is 11. So if we substract we get 99. Not 100.

_________________

Sandy

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