SOLUTION: A collection of 102 nickels, dimes, and quarters, is worth $13.60. There are 14 more nickels than dimes. How many quarters are there? If anyone can answer this question

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Question 117369This question is from textbook Algebra Structure and Method
: A collection of 102 nickels, dimes, and quarters, is worth $13.60. There are 14 more nickels than dimes. How many quarters are there?



If anyone can answer this question I would appreciate it very much. Please and Thank You
This question is from textbook Algebra Structure and Method

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A collection of 102 nickels, dimes, and quarters, is worth $13.60. There are 14 more nickels than dimes. How many quarters are there?
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EQUATIONS:
n + d + q = 102
5n+10d+25q= 1360
n = d+14
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n + d + q = 102
5n+10d+25q= 1360
n - d + 0 = 14
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Using TI-83 Matrix function I get:
n=40
d=26
q=36
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Cheers,
Stan H.