SOLUTION: I have exactly 12 coins in my pocket worth exactly $1.00. I might have nickels, dimes, and/or quarters. What combinations of coins might I have? Find all the possibilities. n

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Question 53427: I have exactly 12 coins in my pocket worth exactly $1.00. I might have nickels, dimes, and/or quarters. What combinations of coins might I have? Find all the possibilities.
n=nickels, d=dimes, q=quarters. I set formula as n+d+q=12 and furthered it to .5n+.10d+.25q=$1.00. I wasn,t sure if I need a third formula or if I was right. I did a process of elimination with coins and came up with these combinations: #1 2q,0d,10n #2 1q,4d,7n #3 0q,8d,4n

Answer by aaaaaaaa(138) About Me  (Show Source):
You can put this solution on YOUR website!
system%28n%2Bd%2Bq=12%2C+5n+%2B+10d+%2B+25q+=+100%29
n%2Bd%2Bq+=+12
n+=+12-d-q
5%2812-d-q%29+%2B+10d+%2B+25q+=+100
60+%2B+5d+%2B+20q+=+100
5d+%2B+20q+=+40
You might have, by increasing number of quarters:
8 dimes, 4 nickels
4 dimes, 1 quarter and 7 nickels
2 quarters and 10 nickels
So it seems your solution is correct.