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 Getting gadgets galore (Posted on 2011-12-12)
To buy a certain gadget you need at least four US coins,- two similar gadgets require no less than six coins while for a purchase of three only two coins are needed.
What minimal price of the said item fits the description above?

Rem: The coins denominations are 1,5,10,25,50,100 cents .

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 dollars in since Comment 3 of 3 |
Excluding the minimal price requirement, and permitting US currency [paper money], the two coins required in the purchase of three gadgets [with X being an integral dollar amount] are:
(A) a half dollar and a cent for a single gadget sold at \$X.17;
(B) two cents for a single gadget sold at \$X.34; and
(C) a dime and a cent for a single gadget sold at \$X.37

(A) 1     4 : (1X)\$ + 10+5+1+1 = \$X.17
2     6 : (2X)\$ + 25+5+1+1+1+1 = \$(2X).34
3     2 : (3X)\$ + 50+1 = \$(3X).51

(B) 1     6 : (1X)\$ + 25+5+1+1+1+1 = \$X.34
2     6 : (2X)\$ + 50+10+5+1+1+1 = \$(2X).68
3     2 : (3X+1)\$ + 1+1 = \$(3X+1).02

(C) 1     4 : (1X)\$ + 25+10+1+1 = \$X.37
2     7 : (2X)\$ + 50+10+10+1+1+1+1 = \$(2X).74
3     2 : (3X+1)\$ + 10+1 = \$(3X+1).11

Ergo, with the minimal price requirement, the price would be \$0.17.

 Posted by Dej Mar on 2011-12-13 22:49:22

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