SOLUTION: I have some quarters, some nickels and some dimes in my pocket. There are 14 coins total. There is one more nickel than dime. The coins total $1.55. How many quarters are there in

Question 715752: I have some quarters, some nickels and some dimes in my pocket. There are 14 coins total. There is one more nickel than dime. The coins total $1.55. How many quarters are there in my pocket?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
I have some quarters, some nickels and some dimes in my pocket. There are 14 coins total. There is one more nickel than dime. The coins total $1.55. How many quarters are there in my pocket?
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Equations:
n + d + q = 14
5n+10d+25q = 155
n = d + 1
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Rearrange and modify:
n + d + q = 14
n - d + 0 = 1
n + 2d + 5q = 31
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I used the matrix function on my TI-84 to get:
n = 6
d = 5
q = 3 (# of quarters)
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Cheers,
Stan H.
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