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10/5/2008 10:12:14 PM

Michael1973
Michael1973
Posts: 58
I struggled with the logic puzzle called "An Apple A Day" on page 52 of the July 2008 issue. There was one part of the printed solution that I couldn't make sense of.

First it matches up three of the womens' first names with their last, such that only Lois and Sara, and the last names Katz and Ville are unaccounted for. That much I got on my own.

Then it says, "Kate sold 40 pounds more than Vera (clue 3), so Lois isn't surnamed Katz (clue 4)." Could somebody explain how that conclusion is reached by the referenced clues. I went over it repeatly and I can't see any connection.
<em>edited by Michael1973 on 10/5/2008</em>

10/8/2008 12:24:01 PM

LogicEditor
LogicEditor
Posts: 89
Thanks for your inquiry.

As you mention, at this point in the solution we have determined that Kate's last name is Lane, Madge's last name is Mullins, and Vera's last name is Swift. We have also determined that Ms. Katz sold the most apples.
Now, from clue 3, we know that Kate sold 40 more pounds than Vera Swift. Clue 4 tells us that Vera sold 20 fewer pounds than Lois; therefore, we can conclude that Lois sold 20 fewer pounds than Kate. Since Ms. Katz sold the most apples, Lois can't be Ms. Katz.

We hope you have found this explanation helpful! Please let us know if you have further questions.

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