SOLUTION: The total value of a collection of quarters and dimes is $3.25. If the total number of coins is 22, how many of each type of coin are there

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Question 1085394: The total value of a collection of quarters and dimes is $3.25. If the total number of coins is 22, how many of each type of coin are there
Answer by ikleyn(52848) About Me  (Show Source):
You can put this solution on YOUR website!
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Let the number of quarters is Q.

Then the number of dimes is (22-Q).

Your "value equation" is

10*(22-Q) + 25Q = 325  cents.

220 - 10Q + 25Q = 325.

15Q = 325 - 220

Q = 105%2F15 = 7.


Answer.  7 quarters and 22-7 = 15 dimes.

Check.   7*25 + 15*10 = 325 cents.   Correct !!

Solved.

There is entire bunch of lessons on coin problems
    - Coin problems
    - More Coin problems
    - Solving coin problems without using equations
    - Kevin and Randy Muise have a jar containing coins
    - Typical coin problems from the archive
    - More complicated coin problems
    - Solving coin problems mentally by grouping without using equations
    - Santa Claus helps solving coin problem
    - OVERVIEW of lessons on coin word problems
in this site.

You will find there the lessons for all levels - from introductory to advanced,
and for all methods used - from one equation to two equations and even without equations.

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
    - ALGEBRA-I - YOUR ONLINE TEXTBOOK.

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