Question 1055589
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In a collection of nickels, dimes and quarters, there are twice as many dimes as nickels and 3 fewer quarters than dimes. 
If the total value of the coins is 4.50 how many of each type of coin are there 
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* Santa Claus came to us to help solving this problem * 
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<pre>
He brought 3 quarters and added it to the collection.
The "value" of the collection became $4.50 + 3*$0.25 = $5.25 = 525 cents.

Now we can combine all the coins in groups in a way that each group contains 2 dimes, 1 nickel and 2 quarters.

Each group worth is 2*10 + 5 + 2*25 = 75 cents.

How many groups are there?

{{{525/75}}} = 7.

OK. Then 7 groups contain 2*7 = 14 dimes, 7 nickels and 2*7 = 14 quarters.

Now we need to return 3 quarters to Santa.

Thank you, Santa !!

<U>Answer</U>. The collection has 14 dimes, 7 nickels and 14-3 = 11 quarters.

In this calculation we can not make a mistake.
Therefore, please check it on your own if the solution is correct.
</pre>

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&nbsp;&nbsp;&nbsp;&nbsp;Thank you Santa again !!
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In his bag, Santa brought to you the entire bunch of lessons on coin problems

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=http://www.algebra.com/algebra/homework/word/coins/Coin-problems.lesson>Coin problems</A>

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=http://www.algebra.com/algebra/homework/word/coins/More-Coin-problems.lesson>More Coin problems</A>

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=http://www.algebra.com/algebra/homework/word/coins/Solving-coin-problem-without-equations.lesson>Solving coin problems without using equations</A>

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/word/coins/Kevin-and-Randy-Muise-have-a-jar.lesson>Kevin and Randy Muise have a jar containing coins</A>

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/word/coins/Typical-coin-problems-from-the-archive.lesson>Typical coin problems from the archive</A>

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/word/coins/More-complicated-coin-problems.lesson>More complicated coin problems</A>


Read them and become an expert in solution of coin problems.


Also, you have this free of charge online textbook in ALGEBRA-I in this site

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson>ALGEBRA-I - YOUR ONLINE TEXTBOOK</A>.


The referred lessons are the part of this online textbook under the topic "<U>Coin problems</U>".