Question 1205410
.
Marie has 39 quarters and nickels. The total value is $ 5.15.
Write an equation and solve for how many quarters and nickels she has.
~~~~~~~~~~~~~~~~~~~~~


<pre>
Let Q be the number of quarters.
Then the number of nickels is (39-Q).


Write the total money equation, in cents

    25Q + 5*(39-Q) = 515  cents.


Simplify and find Q

    25Q + 5*39 - 5Q = 515

    25Q - 5Q = 515 - 5*39

      20Q    =    320

        Q    =    320/20 = 16.


<U>ANSWER</U>.  16 quarters and 39-16 = 23 nickels.


<U>CHECK</U>.  25*16 + 5*23 = 515 cents, in total.    ! correct !
</pre>

Solved.


---------------------


For introductory coin problems, &nbsp;look into 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>

in this site.


Read them attentively and become an expert in this field.