Question 1040691
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A childs piggy bank contains 44 coins in quarters and dimes. The coins have a total value of $8.60. Find the number of quarters in the bank 
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<pre>
Let x be the number of quarters.

Then the number of dimes is 44-q.

Quarters contribute 25*q cents into the total.
Dimes contribute 10*(44-q) cents into the total.

So you have an equation

25q + 10*(44-q) = 860   (the total in cents !)

Simplify and solve for q:

25q + 440 - 10q = 860,

15q = 860 - 440.

15q = 420.

q = {{{420/15}}} = 28.

<U>Answer</U>. There are 28 quarters in the bank.
</pre>

For coin problems and their detailed solutions see the lessons in this site:

&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>


Read them attentively and become an expert in this field.