SOLUTION: Amanda has a jar of 16 coins. In this jar, there are only quarters and nickels with a total of $2.00. How many nickels and quarters does Amanda have?

Question 1057287: Amanda has a jar of 16 coins. In this jar, there are only quarters and nickels with a total of $2.00. How many nickels and quarters does Amanda have?
Found 2 solutions by Alan3354, ikleyn:
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
Amanda has a jar of 16 coins. In this jar, there are only quarters and nickels with a total of $2.00. How many nickels and quarters does Amanda have?
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q + d = 16
25q + 10d = 200
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Answer by ikleyn(52787)   (Show Source): You can put this solution on YOUR website!
.
Amanda has a jar of 16 coins. In this jar, there are only quarters and nickels with a total of $2.00.
How many nickels and quarters does Amanda have?
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n + q = 16, (1) 5n + 25q = 200. (2) From (1), express n = 16 -q and substitute it into (2), replacing "n". You will get 5*(16-q) + 25q = 200, or 80 - 5q + 25q = 200, or 20q = 200 - 80, 20q = 120, q = = 6. Answer. 6 quarters and 10 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
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".

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