J _ M
_ N D
W _ N D _
H _ V _
7
_ N D
5
_ P P L _ S
R _ S P _ C T _ V _ L Y .
T _
S _ L V _
_ S _ N G
M _ T H S ,
L _ T
J
_ N D
W
B _
T H _
N _ M B _ R
_ F
_ P P L _ S
_ F
J _ M
_ N D
W _ N D _
R _ S P _ C T _ V _ L Y .
I F
J _ M
G _ V _ S
W _ N D _
_ N
_ P P L _ ,
T H _ Y
W _ L L
B _ T H
H _ V _
T H _
S _ M _
N _ M B _ R
_ F
_ P P L _ S :
W
+
1
=
J
-
1
I F
W _ N D _
G _ V _ S
J _ M
_ N
_ P P L _ ,
J _ M
W _ L L
H _ V _
T W _ C _
_ S
M _ N Y
_ S
W _ N D _ :
2 ( W
-
1 )
=
J
+
1
S _ L V _ N G
T H _
_ Q _ _ T _ _ N S
W _ L L
G _ V _
J = 7
_ N D
W = 5 Clue
YOU CAN GET 833 APPLES TO BANANAVILLE. FIRST YOU HAVE TO MAKE 3 TRIPS OF 1,000 APPLES FOR 333 MILES. YOU WILL BE LEFT WITH 2,001 APPLES AND 667 MILES TO GO. NEXT YOU HAVE TO TAKE 2 TRIPS OF 1,000 APPLES FOR 500 MILES. YOU WILL BE LEFT WITH 1,000 APPLES AND 167 MILES TO GO (YOU HAVE TO LEAVE AN APPLE BEHIND). FINALLY, YOU TRAVEL THE LAST 167 MILES WITH ONE LOAD OF 1,000 APPLES AND ARE LEFT WITH 833 APPLES IN BANANAVILLE JIM AND WANDA HAVE 7 AND 5 APPLES RESPECTIVELY. TO SOLVE USING MATHS, LET J AND W BE THE NUMBER OF APPLES OF JIM AND WANDA RESPECTIVELY. IF JIM GIVES WANDA AN APPLE, THEY WILL BOTH HAVE THE SAME NUMBER OF APPLES: W + 1 = J - 1 IF WANDA GIVES JIM AN APPLE, JIM WILL HAVE TWICE AS MANY AS WANDA: 2(W - 1) = J + 1 SOLVING THE EQUATIONS WILL GIVE J=7 AND W=5 YOU NEED TO TAKE OUT THREE SOCKS. TO HAVE A MATCHING PAIR, YOU NEED TO TAKE 2 SOCKS THAT ARE OF THE SAME COLOR. WHEN YOU TAKE 3 SOCKS, 2 OF THE SOCKS WILL BE OF THE SAME COLOR FOUR. IF THE APPLES ARE A, B, AND C, IT'S POSSIBLE THAT YOU COULD TAKE OUT ONE A, ONE B AND ONE C WITH THREE APPLES, BUT THE FOURTH APPLE MUST BE ONE OF THE THREE KINDS