SOLUTION: Erin has quarters and nickels for a total of 16 coins. The value of his coins is $2.60. How many quarters does Erin have? How many nickels does Erin have?

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Question 1065470: Erin has quarters and nickels for a total of 16 coins. The value of his coins is $2.60. How many quarters does Erin have? How many nickels does Erin have?
Answer by ikleyn(52855) About Me  (Show Source):
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Erin has quarters and nickels for a total of 16 coins. The value of his coins is $2.60.
How many quarters does Erin have? How many nickels does Erin have?
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Let Q be the number of Quarters. Then the number of nickels is (16-Q).

Quarters contribute 25Q       cents to the total.
Dimes    contribute 5*(16-Q) cents to the total.

The value equation is 

25Q + 5*(16-Q) = 260  cents.

Simplify and solve for Q:

25Q + 80 - 5Q = 260,

20Q = 260 - 80,

20Q = 180  --->  Q = 180%2F20 = 9.

Answer. 9 quarters and 16-9 = 7 nickels.


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".