SOLUTION: Kesha has a total of 110 coins,all of which are either dimes or quarters. The total value of the coins is $20.00. Find the number of each type of coin

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Question 1060740: Kesha has a total of 110 coins,all of which are either dimes or quarters. The total value of the coins is $20.00. Find the number of each type of coin
Answer by ikleyn(52798) About Me  (Show Source):
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Kesha has a total of 110 coins,all of which are either dimes or quarters. The total value of the coins is $20.00.
Find the number of each type of coin.
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Let D be the number of dimes.

Then the number of quarters is (110-D).

The "value equation" is

10D + 25*(110-D) = 2000.

Simplify and solve for D:

10D + 2750 - 25D = 2000,

-15D = 2000 - 2750,

-15D = -750,

D = %28-750%29%2F%28-15%29 = 50.

Answer.  There are 50 dimes and 110-50 = 60 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
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".