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?
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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.