Question 875307: I have 12 coins in my pocket all worth $1. All of which are nickels,dimes, and quarters. Find all the possibilities?
Answer by josmiceli(19441) (Show Source):
You can put this solution on YOUR website! 4 quarters already equals $1.00,
so you can't have 4 quarters
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3 quarters leaves 9 coins to make $ .25
9 nickels adds up to $ .45,
so you can't have 3 quarters
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2 quarters leaves 10 coins to make $ .50
That would be 10 nickels
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1 quarter leaves 11 coins to make $ .75
That would be 4 dimes and 7 nickels
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0 quarters leaves 12 coins to make $ 1.00
That is 8 dimes and 4 nickels
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n -- d -- q
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10 - 0 -- 2
7 -- 4 -- 1
4 -- 8 -- 0
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I'm not sure if zero dimes or zero quarters is allowed
If not, then the only answer is
7 nickels, 4 dimes, and 1 quarter
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