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Greece, 250 A.D.


Question: Where are the apples gone my child?

Answer: Ino has 2/6 and Semele 1/8 and Autonoe went off with 1/4, while Agave snatched from my bosom and carried away a fifth. For thee 10 apples are left, but I, yes I swear it by dear Cypris, have only this one.

Logical Question...and Answer:??

Solution:

Suggested Solution (Jason Dilley & Nichole Lemmon, WWU students)

When reading this, it can be quite ambiguous as to what the correct answer is. In fact, it would look like the question has already been answered in the problem. However, it is relatively easy to break down and find out how many apples the author had to begin with and the exact amount that each person has.

The best part of this problem...is that by adding up the fractions that people have taken, you can easily find the total amount of apples.

2/6 + 1/8 + 1/4 + 1/5 = 109/120.

Add 10 from Cypris and the 1 that the Author has and you get a total of 120 apples....that is, Ino has 40, Semele has 15, Autonoe has 30, Agave has 24, Cypris has 10 and the Author has 1.

Or, to put it another way...

Ino = 2/6.... [2/6]*120 = 40

Semele = 1/8.... [1/8]*120 = 15

Autonoe = 1/4.... [1/4]*120 = 30

Agave = 1/5.... [1/5]*120 = 24

Cypris = 10.... Given

Author = 1.... Given

And 40 + 15 + 30 + 24 + 10 + 1 = 120