SOLUTION: Laura has a coin collection made of pennies and nickels worth $4.16. She has three times as many pennies as nickels. How many coins of each type does she have?

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Question 1058873: Laura has a coin collection made of pennies and nickels worth $4.16. She has three times as many pennies as nickels. How many coins of each type does she have?
Found 2 solutions by ikleyn, Alan3354:
Answer by ikleyn(52781)   (Show Source):
You can put this solution on YOUR website!
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Laura has a coin collection made of pennies and nickels worth $4.16. She has three times as many pennies as nickels.
How many coins of each type does she have?
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Group Laura's coins in sets of {1 nickel, 3 pennies} each. Each set worth is 5 + 3 = 8 cents. How many sets are there ? - But of course, = 52. Answer. 52 nickels and 3*52 = 156 pennies.

This method allows to solve the problem without using equations.

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.

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".

Answer by Alan3354(69443)   (Show Source):
You can put this solution on YOUR website!
That's some collection.
She must be very proud.