Trefoil Puzzle #135

There was a shipwreck at sea and Buck, Lance, and Jack were washed ashore on a small island. Upon reaching shore they promptly fell asleep from exhaustion. A short time later, Buck awoke and saw that a box of bananas had been washed ashore. Buck ate one third of the bananas and went back to sleep. Lance soon awoke and upon seeing the box of bananas, ate on third of what was left and then fell asleep. Jack woke next and assumed that the other two hadn’t eaten any bananas, so he ate one third of what remained. When Jack finished, there were 8 bananas left over. How many bananas were in the box originally?


Trefoil Puzzle #134

Picture three boxes containing fruit. The first box is marked CHERRIES, the second box is marked BANANAS, and the third box is marked CHERRIES AND BANANAS. Each of the boxes is labelled incorrectly. How could you label each box correctly if you were allowed to select only one fruit from one of the boxes?



Trefoil Puzzle #117

What is the four-digit number in which the first digit is one-third the second, the third is the sum of the first and the second, and the last is three times the second?

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Trefoil Puzzle #116

Mr. and Mrs. Payload were walking home from the shopping mall with their purchases when Mr. Payload began to complain that his load was too heavy.

Mrs. Payload turned to her husband and said, “I don’t know what you’re complaining about because if you gave me one of your parcels, I would have twice as many as you, and if I gave you just one of mine, we would have equal loads.”

How many parcels were each carrying?


Trefoil Puzzle #115

Three brothers and their respective wives were traveling through the country when they came to a river. Their only means of crossing was in a small canoe which would only carry 2 people at a time. The three men were very jealous of each other. Not one of the brothers would leave his wife alone in the boat, or on the shore with another brother, unless that brother’s wife was also present. How many crossings were necessary to get the happy clan across the river and? Give an example of how they would cross.