A short introduction Cookie policy

## Solution to: All Apples

The big pile of apples contains the same amount of large apples of a quarter of a euro each (from Mrs. Jones), as smaller apples of one sixth euro each (from Mrs. Smith). The average price is therefore (1/4 + 1/6) / 2 = 5/24 euro. However, apples are sold for 1/5 euro each (5 apples for 1 euro). This means that per sold apple there is a shortage of 5/24 - 1/5 = 1/120 euro. The total shortage is 3.50 euro, so the women together started out with 420 apples. These are worth 1/5 × 420 = 84 euro, or with equal division 42 euro for each. If Mrs. Jones had sold her 210 apples herself, she would have received 52.50 euro.

Conclusion: Mrs. Jones loses 10.50 euro in this deal.

Back to the puzzle
Copyright © 1996-2018. RJE-productions. All rights reserved. No part of this website may be published, in any form or by any means, without the prior permission of the authors.
This website uses cookies. By further use of this website, or by clicking on 'Continue', you give permission for the use of cookies. If you want more information, look at our cookie policy.