Today’s Question – Elwood had gone to his favorite organic fruit store and come back with exactly 100 items having spent exactly $100. There were only three kinds of fruit. There were hand melons at $5 per and cantaloupes at $2 per and grapes at a dime each. How many of each item in the 100 items that cost exactly $100? Algebra does not help. You need a large dollop of logic and them some trial and error.

Reveal Answer Answer - The large dollop of logic we suggested was that the grapes had to come in lots of 10 in order for the total to be in dollars and not odd cents. So the possible number of grapes could only be 10, 20, 30, etc. for a maximum of 10 possibilities. You then knew you need some combination of melons and cantaloupes to provide correct number of items and correct amount to complement the grapes. Obviously that rules out any grape total below 50 or over 80. So with a little tinkering we get 70 grapes, 19 cantaloupes and 11 melons.

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