?

If a bottle weighs eight ounces plus half a bottle...

...what is the weight of a bottle and a half?

Puzzle Copyright © Kevin Stone

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Answer

24 ounces.

The bottle weighs 16 ounces.

Reasoning

As a bottle (B) weighs eight ounces plus half a bottle, we can write this as:

B = 8 + ^{1}/_{2} x B

^{1}/_{2} x B = 8

B = 16

As the bottle weighs 16 ounces, a bottle and a half weighs 16 + 8 = 24 ounces.

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