SOLUTION: A collecton of 197 coins consists of nickels, dimes, and quarters. The number if dimes is 2 more than one-third the number of nickels, and the number of quarters is three times the

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Question 157309: A collecton of 197 coins consists of nickels, dimes, and quarters. The number if dimes is 2 more than one-third the number of nickels, and the number of quarters is three times the number of dimes. How many dimes are there?


I did some work but I cant figure it out
D+N+Q=197
D=1/3N+2 3D=N+6
Q=3D

Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
Start with the first equation


Plug in and


Plug in


Distribute


Multiply


Combine like terms.


Multiply EVERY term by the LCD 3 to clear out the fractions.


Combine like terms.


From here you have a simple linear equation. Once you have N, plug this into the second equation to get D. Finally, plug D into the third equation to get Q. Let me know if you need any further help.


Note: you should get D=29, N=81, and Q=87 as an answer.
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