SOLUTION: a vending machine that only takes dimes and quarters contains 40 coins, with a total value of $5.95. How many of each coins are there?

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Question 1070263: a vending machine that only takes dimes and quarters contains 40 coins, with a total value of $5.95. How many of each coins are there?
Answer by ikleyn(52771)   (Show Source):
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Let Q be the number of quarters; Then the number of dimes is (40-Q). Dimes contribute 10*(40-Q) cents to the total. Quarters contribute 25Q cents. The equation for the total is 10*(40-Q) + 25Q = 595 cents, or 400 - 10Q + 25Q = 595, or 15Q = 595-400 = 195, which gives Q = = 13. Answer. 13 quarters and 40 - 13 = 27 dimes. Check. 27*10 + 13*25 = 595 cents. Correct.

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".