F _ L L
T H _
_ N V _ L _ P _ S
W _ T H
$ 1 ,
$ 2 ,
$ 4 ,
$ 8 ,
$ 1 6 ,
$ 3 2 ,
$ 6 4 ,
$ 1 2 8 ,
$ 2 5 6
_ N D
$ 4 8 9 .
T H _ S
_ N V _ L V _ S
B _ N _ R Y
M _ T H S .
L _ T ' S
T R Y
_ N
_ _ S _ _ R
P R _ B L _ M
-
$ 3 1
W _ T H
5
_ N V _ L _ P _ S .
T H _
_ N V _ L _ P _ S
H _ V _
T _
B _
F _ L L _ D
W _ T H
$ 1 ,
$ 2 ,
$ 4 ,
$ 8
_ N D
$ 1 6
.
N _ T _
T H _ T
T H _
N _ M B _ R S
_ R _
_ N
P _ W _ R S
_ F
T W _ :
2 0
=
$ 1
2 1
=
$ 2
2 2
=
$ 4
2 3
=
$ 8
2 4
=
$ 1 6
U S _ N G
T H _ S
L _ G _ C ,
F _ R
$ 1 0 0 0 ,
T H _
_ N V _ L _ P _ S
N _ _ D
T _
B _
F _ L L _ D
W _ T H :
$ 1 ,
$ 2 ,
$ 4 ,
$ 8 ,
$ 1 6 ,
$ 3 2 ,
$ 6 4 ,
$ 1 2 8 ,
$ 2 5 6
_ N D
$ 5 1 2 .
B _ T
T H _ S
_ D D S
_ P
T _
$ 1 0 2 3 .
S _ ,
T H _
L _ S T
_ N V _ L _ P _
W _ L L
_ N L Y
H _ V _
$ 5 1 2
-
$ 2 3
_ R
$ 4 8 9 Clue
FILL THE ENVELOPES WITH $1, $2, $4, $8, $16, $32, $64, $128, $256 AND $489. THIS INVOLVES BINARY MATHS. LET'S TRY AN EASIER PROBLEM - $31 WITH 5 ENVELOPES. THE ENVELOPES HAVE TO BE FILLED WITH $1, $2, $4, $8 AND $16 . NOTE THAT THE NUMBERS ARE IN POWERS OF TWO: 20 = $1 21 = $2 22 = $4 23 = $8 24 = $16 USING THIS LOGIC, FOR $1000, THE ENVELOPES NEED TO BE FILLED WITH: $1, $2, $4, $8, $16, $32, $64, $128, $256 AND $512. BUT THIS ADDS UP TO $1023. SO, THE LAST ENVELOPE WILL ONLY HAVE $512 - $23 OR $489 THE CONTENTS OR THE TEN ENVELOPES (IN DOLLAR BILLS) SHOULD BE AS FOLLOWS: $1, 2, 4, 8, 16, 32, 64, 128, 256, 489. THE FIRST NINE NUMBERS ARE IN GEOMETRICAL PROGRESSION, AND THEIR SUM, DEDUCTED FROM 1,000, GIVES THE CONTENTS OF THE TENTH ENVELOPE THE ELECTRICIAN STOLE THE MONEY. IF THE MAN CHECKED FOR THE MONEY BETWEEN PAGE 1 AND 2 OF THE BOOK, THEN PAGE 2 AND 3 WILL BE OPPOSITE SIDES OF A SINGLE PAGE AND WILL NOT BE ABLE TO HOLD THE MONEY THE BARBER LOST $5 IN CASH. THE LADY FROM THE FLOWER SHOP GAVE $20 TO THE BARBER AND EVENTUALLY GOT HER $20 BACK. THE MAN WHO GOT THE HAIRCUT, GAVE NOTHING EXCEPT THE COUNTERFEIT MONEY AND GOT $5 BACK. SO THE BARBER LOST $5 IN CASH BUT LOST $15 IN REVENUE AS HE GOT COUNTERFEIT MONEY FOR THE HAIRCUT. LET'S SAY THE BARBER HAD $20 INITIALLY. HE GOT A $20 BILL FOR THE HAIRCUT AND AFTER PAYING THE MAN THE $5 CHANGE, HE HAD A BALANCE OF $35. THE BARBER THEN GAVE $20 TO THE LADY FROM THE FLOWER SHOP IN EXCHANGE FOR THE COUNTERFEIT MONEY WHICH BROUGHT HIS BALANCE TO $15. SO, THE BARBER MADE A LOSS OF $5, SINCE HIS BALANCE AFTER THE HAIRCUT WAS $15 FROM THE INITIAL AMOUNT OF $20