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 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 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