H _
H _ D
1 5
_ G G S .
T H _
F _ R S T
P _ R S _ N
B _ _ G H T
H _ L F
_ F
T H _
1 5
_ G G S
W H _ C H
_ S
7 ½
_ G G S
_ N D
_ N _ T H _ R
½
_ G G .
S _
H _
B _ _ G H T
8
_ G G S
_ N
T _ T _ L
_ N D
J _ C K
_ S
L _ F T
W _ T H
7
_ G G S .
T H _
S _ C _ N D
P _ R S _ N
B _ _ G H T
H _ L F
_ F
T H _
R _ M _ _ N _ N G
7
_ G G S
W H _ C H
_ S
3 ½
_ G G S
_ N D
_ N _ T H _ R
½
_ G G .
S _
H _
B _ _ G H T
4
_ G G S
_ N D
J _ C K
_ S
L _ F T
W _ T H
3
_ G G S .
T H _
L _ S T
P _ R S _ N
B _ _ G H T
H _ L F
_ F
T H _
R _ M _ _ N _ N G
3
_ G G S
W H _ C H
_ S
1 ½
_ G G S
_ N D
_ N _ T H _ R
½
_ G G .
S _
T H _
L _ S T
P _ R S _ N
B _ _ G H T
2
_ G G S .
T H _ T
L _ _ V _ S
1
_ G G
R _ M _ _ N _ N G
_ N
J _ C K ' S
B _ S K _ T Clue
25 EGGS WERE BROKEN. THERE IS ONLY ONE WAY OF FINDING A SOLUTION TO THIS PROBLEM: NUMBERS WHICH LEAVE A REMAINDER OF 1, WHEN DIVIDED BY 2: 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35 NUMBERS WHICH LEAVE A REMAINDER OF 1, WHEN DIVIDED BY 3: 4, 7, 10, 13, 16, 19, 22, 25, 28, 31, 34, 37 NUMBERS WHICH LEAVE A REMAINDER OF 1, WHEN DIVIDED BY 4: 5, 9, 13, 17, 21, 25, 29, 33, 37 NUMBERS WHICH LEAVE NO REMAINDER WHEN DIVIDED BY 5: 5, 10, 15, 20, 25, 30, 35 THE ONLY NUMBER FULFILLING THE FOUR CONDITIONS IS 25 7 EGGS. THE FIRST PERSON BOUGHT ONE HALF OF HIS EGGS PLUS ONE HALF AN EGG (3 1/2 + 1/2 = 4 EGGS) THIS LEFT HIM 3 EGGS. THE SECOND PERSON BOUGHT ONE-HALF OF HIS EGGS PLUS ONE HALF AN EGG, (1 1/2 + 1/2 = 2 EGGS) LEAVING THE MAN 1 EGG. THE LAST PERSON BOUGHT ONE-HALF OF HIS EGGS PLUS ONE-HALF AN EGG, (1/2 + 1/2 = 1 EGG) LEAVING NO EGGS THE MAN MAKES AN OVERALL PROFIT OF $200. THE MAN ALWAYS SOLD THE HORSE FOR A $100 PROFIT EVERY TIME. ASSUME THAT HE HAD $1000 IN THE BEGINNING. AFTER BUYING THE HORSE FOR $600 AND THEN SELLING IT OFF FOR $700, HE WOULD HAVE: $1000 - $600 - $700 = $1100. AFTER BUYING THE HORSE FOR $800 AND THEN SELLING IT OFF FOR $900, HE WOULD HAVE: $1100 - $800 + $900 HE HAD 15 EGGS. THE FIRST PERSON BOUGHT HALF OF THE 15 EGGS WHICH IS 7½ EGGS AND ANOTHER ½ EGG. SO HE BOUGHT 8 EGGS IN TOTAL AND JACK IS LEFT WITH 7 EGGS. THE SECOND PERSON BOUGHT HALF OF THE REMAINING 7 EGGS WHICH IS 3½ EGGS AND ANOTHER ½ EGG. SO HE BOUGHT 4 EGGS AND JACK IS LEFT WITH 3 EGGS. THE LAST PERSON BOUGHT HALF OF THE REMAINING 3 EGGS WHICH IS 1½ EGGS AND ANOTHER ½ EGG. SO THE LAST PERSON BOUGHT 2 EGGS. THAT LEAVES 1 EGG REMAINING IN JACK'S BASKET