SOLUTION: A collection of quarters and nickels contains twice as many quarters as nickels. If the value of the coins totals $4.40, how many nickels and quarters are in the collection?

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Question 1065298: A collection of quarters and nickels contains twice as many quarters as nickels. If the value of the coins totals $4.40, how many nickels and quarters are in the collection?
Found 2 solutions by ikleyn, josgarithmetic:
Answer by ikleyn(52908)   (Show Source):
You can put this solution on YOUR website!
.
A collection of quarters and nickels contains twice as many quarters as nickels. If the value of the coins totals $4.40,
how many nickels and quarters are in the collection?
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Answer. 8 nickels and 16 quarters.

Solution

Group coins in sets in a way each set contains 2 quarters and 1 nickels. According to the condition, it is possible to do it. Each set worth is 2*25 + 5 = 55 cents. The number of sets is = 8. Hence, there are 8 nickels and 2*8 = 16 quarters in the collection.

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 josgarithmetic(39630)   (Show Source):
You can put this solution on YOUR website!
n nickels
q quarters

Solve the system.