I F
Y _ _
L _ _ K
_ T
T H _
_ V _ R _ G _
P R _ C _
_ F
T H _
_ P P L _ S
_ N
T H _
F _ R S T
D _ Y ,
_ T
_ S
$ 2 5
D _ V _ D _ D
B Y
6 0 ,
_ R
4 1 2 ⁄ 3
C _ N T S
P _ R
_ P P L _ .
W H _ N
T H _
W _ M _ N
S _ L L
T H _
_ P P L _ S
_ T
5
F _ R
$ 2
_ N
T H _
S _ C _ N D
D _ Y ,
T H _ Y
_ R _
_ N L Y
C H _ R G _ N G
4 0
C _ N T S
P _ R
_ P P L _ .
T H _
D _ C R _ _ S _
_ N
P R _ C _
_ F
1 2 ⁄ 3
C _ N T S
P _ R
_ P P L _
F _ R
6 0
_ P P L _ S
_ C C _ _ N T S
F _ R
T H _
M _ S S _ N G
D _ L L _ R .
H _ R _
_ S
_
_ N _ T H _ R
W _ Y
T _
L _ _ K
_ T
T H _ S .
O N
T H _
S _ C _ N D
D _ Y ,
_ V _ R Y
T _ M _
5
_ P P L _ S
_ R _
S _ L D
F _ R
$ 2 ,
L _ T
_ S
_ S S _ M _
T H _ T
T H _
F _ R S T
W _ M _ N
T _ K _ S
$ 1
_ N D
G _ V _ S
2
_ P P L _ S
_ N D
T H _
S _ C _ N D
W _ M _ N
T _ K _ S
$ 1
_ N D
G _ V _ S
3
_ P P L _ S .
T H _ S
W _ Y
T H _
F _ R S T
W _ M _ N
S _ L L S
2 4
_ P P L _ S
_ N D
S _ C _ N D
_ N _
S _ L L S
3 6
_ P P L _ S
F _ R
$ 1 2
_ _ C H .
T H _ S
M _ _ N S
T H _ T
T H _
6
_ P P L _ S
_ F
T H _
F _ R S T
W _ M _ N
H _ V _
B _ _ N
T R _ N S F _ R R _ D
T _
T H _
S _ C _ N D
W _ M _ N
_ T
_
L _ S S
_ F
$ 1 .
I F
T H _
F _ R S T
W _ M _ N
S _ L D
T H _
6
_ P P L _ S ,
S H _
W _ _ L D
H _ V _
M _ D _
$ 3 .
B _ T
S _ N C _
T H _
S _ C _ N D
W _ M _ N
S _ L D
T H _
6
_ P P L _ S ,
S H _
W _ _ L D
H _ V _
_ N L Y
M _ D _
$ 2 .
$ 3
-
$ 2
=
$ 1 ,
T H _
L _ S S
T H _ Y
_ N C _ R R _ D
C _ M P _ R _ D
T _
B _ F _ R _ Clue
THE STUDENT IS DOUBLE COUNTING A LOT OF THE DAYS. A LOT OF THE TIME SPENT SLEEPING, EATING, AND RELAXING OCCURS DURING WEEKENDS AND THE SUMMER. WEEKENDS ALSO OCCUR DURING THE SUMMER, SO ALL OF THESE HOURS ARE GETTING COUNTED SEVERAL TIMES. AND, SCHOOL IS NOT AN ALL DAY AFFAIR. SO THE 4 DAYS ACTUALLY REPRESENTS MORE DAYS OF SCHOOL. IF SCHOOL IS 6 HOURS PER DAY, THOSE FOUR DAYS REPRESENTS 16 DAYS OF SCHOOL THE PROBLEM IS THAT THE QUESTION IS CLEVERLY PHRASED TO CAUSE CONFUSION. THE BALANCE TOTAL DOES NOT NEED TO BE EQUAL TO THE WITHDRAWAL TOTAL. AND IN THIS CASE, THE BALANCE TOTAL WILL NOT ADD UP TO SOMETHING MEANINGFUL. LET'S SAY YOU HAVE $100 IN YOUR BANK ACCOUNT AND YOU MAKE 2 WITHDRAWALS OF $1 EACH. THE WITHDRAWAL TOTAL IS $2 ($1 + $1). BUT THE BALANCE TOTAL IS $197 ($99 + $98) IF YOU LOOK AT THE AVERAGE PRICE OF THE APPLES ON THE FIRST DAY, IT IS $25 DIVIDED BY 60, OR 412⁄3 CENTS PER APPLE. WHEN THE WOMEN SELL THE APPLES AT 5 FOR $2 ON THE SECOND DAY, THEY ARE ONLY CHARGING 40 CENTS PER APPLE. THE DECREASE IN PRICE OF 12⁄3 CENTS PER APPLE FOR 60 APPLES ACCOUNTS FOR THE MISSING DOLLAR. HERE IS A ANOTHER WAY TO LOOK AT THIS. ON THE SECOND DAY, EVERY TIME 5 APPLES ARE SOLD FOR $2, LET US ASSUME THAT THE FIRST WOMAN TAKES $1 AND GIVES 2 APPLES AND THE SECOND WOMAN TAKES $1 AND GIVES 3 APPLES. THIS WAY THE FIRST WOMAN SELLS 24 APPLES AND SECOND ONE SELLS 36 APPLES FOR $12 EACH. THIS MEANS THAT THE 6 APPLES OF THE FIRST WOMAN HAVE BEEN TRANSFERRED TO THE SECOND WOMAN AT A LOSS OF $1. IF THE FIRST WOMAN SOLD THE 6 APPLES, SHE WOULD HAVE MADE $3. BUT SINCE THE SECOND WOMAN SOLD THE 6 APPLES, SHE WOULD HAVE ONLY MADE $2. $3 - $2 = $1, THE LOSS THEY INCURRED COMPARED TO BEFORE THE WEIGHT OF THE 5 RINGS ARE 1, 2, 4, 8 AND 16 GRAMS. USING THE COMBINATION OF THE 5 TYPE OF WEIGHTS YOU CAN REWARD FROM 1 TO 31 GRAMS IN WEIGHT TO THE WISE MAN. FOR EXAMPLE: FOR THE 3RD DAY, YOU CAN GIVE HIM THE 1 AND 2 GRAM RINGS. FOR THE 15TH DAY, YOU CAN GIVE HIM THE 1, 2, 4, 8 GRAM RINGS. FOR THE 30TH DAY, YOU CAN GIVE HIM THE 2, 4, 8, 16 GRAMS