SOLUTION: what is the answer to this word problem, Jasmine has three more nickles then dimes. there are 25 coins all together. how many of each is there

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Question 165607: what is the answer to this word problem, Jasmine has three more nickles then dimes. there are 25 coins all together. how many of each is there
Answer by gonzo(654)   (Show Source): You can put this solution on YOUR website!
N = number of nickels.
D = number of dimes.
N = D + 3 (there are 3 more nickels than dimes)
D + N = 25 (total of dimes and nickels is 25).
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use D + N = 25
substitute D + 3 for N
equation becomes
D + D + 3 = 25
combine like terms:
2D + 3 = 25
subtract 3 from both sides:
2D = 22
divide both sides by 2:
D = 11
since N = D + 3, then N = 14
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answer is:
D = 11
N = 14
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she has 14 nickels and 11 dimes.
total number of coins is 25 (14+11=25)
number of nickels is 3 more than dimes (14-11=3)

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