SOLUTION: John has a jarful of quarters and nickels. There are 104 coins in the jar. The value of the coins is $16.60. How many of each type of coins are there.

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Question 1054294: John has a jarful of quarters and nickels. There are 104 coins in the jar. The value of the coins is $16.60. How many of each type of coins are there.

Answer by addingup(3677) About Me  (Show Source):
You can put this solution on YOUR website!
Let quarters be q and nickels n
q+n = 104 subtract n from both sides:
q = 104-n we'll use this value for q next
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0.25q+0.05n = 16.60 substitute for q
0.25(104-n)+0.05n = 16.60
26-0.25n+0.05n = 16.60
-0.20n = -9.40
n = 47 and q:
q = 104-47 = 57
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47*0.05 = 2.35
57*0.25 = 14.25
Total. . .16.60 correct
:
John