Question 1050880
.
A newspaper carrier has $4.10 in change. He has four more quarters than dimes but two times as many nickels as quarters. 
How many coins of each type does he have?
~~~~~~~~~~~~~~~`


<pre>
Let Q be the number of quarters.
Then the number of dimes is (Q-4)  ("He has four more quarters than dimes")
and the number of nickels is 2Q.

Quarters contribute 25*Q     cents to the total.
Dimes    contribute 10*(Q-4) cents to the total.
Nickels contribute   5*(2Q)  cents to the total.

The "value" equation is 

25Q + 10*(Q-4) + 5*(2Q) = 410 cents,   or

25Q + 10Q - 40 + 10Q = 410,   or

25Q + 10Q + 10Q = 410 + 40,  or

45Q = 450   --->  Q = {{{450/40}}} = 10.

<U>Answer</U>.  10 quarters, 25-4 = 21 dimes and 20 nickels.
</pre>

There is entire bunch of the 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>

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=http://www.algebra.com/algebra/homework/word/coins/OVERVIEW-of-lesson-on-coin-word-problems.lesson>OVERVIEW of lessons on coin word problems</A>

in this site.


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>.


It contains many other solved word problems, as well as many other interesting and useful things.