SOLUTION: angelina has a collection of nickels and dimes worth $4.75. If she has 70 dimes and nickels, how many of each does she have?

Question 1061331: angelina has a collection of nickels and dimes worth $4.75. If she has 70 dimes and nickels, how many of each does she have?
Answer by ikleyn(52781) (Show Source): You can put this solution on YOUR website!
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angelina has a collection of nickels and dimes worth $4.75. If she has 70 dimes and nickels, how many of each does she have?
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Let "n" be the number of nickels in the collection.

Then the number of dimes is (70-n).

Nickels contribute 5n cents to the total.
Dimes   contribute 10*(70-n) cents to the total.

The total is

5n + 10*(70-n) = 475 cents.

Simplify and solve for "n":

5n + 700 - 10n = 475,

-5n = 475 - 700,

-5n = -225,

n =  = 45.

Answer.  There are 45 nickels and 70-45 = 25 dimes in the collection.

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For coin problems and their detailed solutions see the lessons in this site:
    - 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
    - Solving coin problems mentally by grouping without using equations
    - Santa Claus helps solving coin problem

Read them attentively and become an expert in this field.

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".

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