SOLUTION: A collection of nickels and dimes is a total value of $2.00 and contains 25 coins. How many of each coin is in the collection?

Question 634376: A collection of nickels and dimes is a total value of $2.00 and contains 25 coins. How many of each coin is in the collection?

Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!

A collection of nickels and dimes is a total value of $2.00 and contains 25 coins. How many of each coin is in the collection?
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Do it like this one.
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There are 50 coins. They are dimes and quarters. When counted all up the total is $10.25. My question is, Out of all the coins. How many dimes are there?
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You can do these "in your head" like this:
50 dimes would be $5.00
Each quarter adds 15 cents.
10.25 - 55.00 = $5.25 added
525/15 = 35 quarters
--> 15 dimes
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or,
d + q = 50
10d + 25q = 1025
etc

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