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W _ T _ R Clue
FILL UP THE THREE-GALLON JUG AND POUR IT INTO THE FIVE-GALLON JUG. DO IT AGAIN AND THERE WILL BE ONE GALLON LEFT IN THE THREE-GALLON JUG. EMPTY THE FIVE-GALLON JUG AND POUR IN THE ONE GALLON OF WATER FROM THE THREE-GALLON JUG. FILL THE THREE-GALLON JUG WITH WATER AGAIN AND POUR IT INTO THE FIVE-GALLON JUG. THE FIVE-GALLON JUG SHOULD NOW CONTAIN 4 GALLONS OF WATER A TOTAL OF NINE COINS ARE NEEDED: FOUR (1¢) PENNIES, ONE (5¢) NICKEL, TWO (10¢) DIMES, ONE (25¢) QUARTER AND ONE (50¢) HALF-DOLLAR A = 3.5 B = 4.5 C = 9.5 D = 3.5 TO SOLVE THE PUZZLE, YOU WILL NEED TO COME UP WITH 4 EQUATIONS: A + B = 8 ... (1) C - D = 6 ... (2) A + C = 13 ... (3) B + D = 8 ... (4) SUBTRACTING (1) FROM (3) GIVES: C - B = 5 ... (5) ADDING (2) TO (4) GIVES: B + C = 14 ... (6) ADDING (5) AND (6) GIVES: 2C = 19 C = 9.5 SUBSTITUTING C = 9.5 IN (2) GIVES: 9.5 - D = 6 D = 3.5 SUBSTITUTING D = 3.5 IN (4), GIVES: B + 3.5 = 8 B = 4.5 SUBSTITUTING B = 4.5 IN (1), GIVES: A + 4.5 = 8 A = 3.5 IT WILL TAKE 29 DAYS FOR TWO WATER LILIES TO COVER THE WHOLE POND. EACH WATER LILY WILL NEED TO COVER HALF OF THE POND. THE WATER LILIES WILL COVER HALF OF THE POND ON THE 29TH DAY