Question 1054693
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Carson has $2.15 in nickels and dimes in a jar. He has 10 more nickels than dimes. How many nickels and dimes does he have?
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<U>Answer</U>.  11 dimes and 21 nickels.


<U>Solution</U> (without using equations)


<pre>
Take off these 10 nickels from the collection, for a moment (mentally).
Then you can group the remaining coins in sets consisting (one nickel, one dime) each,
and the total "value" of the remaining coins is 215 - 5*10 = 165 cents.

The worth of each group is 10+5 = 15 cents.

The number of thess groups is (obviously) {{{165/15}}} = 11.

Does it tell you something?
</pre>

For more traditional ways to solve the problem with equations see the lessons

&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>

in this site.


Read them attentively and become an expert in this field.