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Difficult Danny 2

Math brain teasers require computations to solve.

 

Puzzle ID:#50002
Fun:*** (2.36)
Difficulty:*** (2.62)
Category:Math
Submitted By:eighsseAus******!

 

 

 



Difficult Danny has acquired his nickname (and some other, less polite nicknames) due to the fact that, whenever he buys anything, he insists upon paying the exact amount, with precisely 100 pieces of currency. Danny wanted an xCube365 (it lasts 365 days before programmatically disabling itself, so that a new one must be purchased), the highly coveted gaming system that had just been released. It cost $230, but he managed to save up enough to buy one. He paid using some quantity (possibly zero) of each the following denominations of bills: $1, $5, $10, $20, $50, and $100. Of those six quantities (including any zeros), there is one -- and ONLY one -- distinct triplet that can be made into a true multiplication sentence. For example, if there were 2 ones, 3 twenties, and 6 tens, 2 x 3 = 6, so this would fit the rule. How many of each denomination did Danny use to buy the xCube365?

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