SOLUTION: 5 quarters Twice as many dimes as quarters 16 coins in all Q=___ D=____ N=____ How can I explain to my daughter how to do this logical reasoning problem. I have trouble

Algebra ->  Customizable Word Problem Solvers  -> Coins -> SOLUTION: 5 quarters Twice as many dimes as quarters 16 coins in all Q=___ D=____ N=____ How can I explain to my daughter how to do this logical reasoning problem. I have trouble      Log On

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Question 235169: 5 quarters
Twice as many dimes as quarters
16 coins in all
Q=___ D=____ N=____
How can I explain to my daughter how to do this logical reasoning problem. I have trouble with word problems. Thank you for your help.

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Does N stand for nickels? If so,
Q+=+5
D+=+2Q
There are 16 coins in all, so
Q+%2B+D+%2B+N+=+16
Now I can do substitutions
Q+%2B+2Q+%2B+N+=+16
3Q+%2B+N+=+16
And,since Q+=+5
3%2A5+%2B+N+=+16
15+%2B+N+=+16
Subtract 15 from both sides
N+=+1
Therefore,
Q+=+5
D+=+10
N+=+1