SOLUTION: In my collection of coins, I have 2 more 5 penny coins than 25 penny coins. How many 5 penny coins are there if the collection is worth $3.40?

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Question 1043171: In my collection of coins, I have 2 more 5 penny coins than 25 penny coins. How many 5 penny coins are there if the collection is worth $3.40?
Answer by ikleyn(52878) About Me  (Show Source):
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In my collection of coins, I have 2 more 5 penny coins than 25 penny coins.
How many 5 penny coins are there if the collection is worth $3.40?
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Take off two 5-penny coins from the collection (mentally).


Then you will have equal number of 5-penny and 25-penny coins with the total of $3.30.

Combine each 5-penny coin with the 25-penny coin.
You will get the groups with one 5-penny coin and 25-penny coin in each group.
How much each group worth? 30 pennies: 25 + 5 = 30.

How many such groups are there?

330%2F30 = 11.   (330 stands for $3.30).

It means that there are 11 of 25-penny coins and 11+2= 13 of 5-penny coins in your collection originally 
(before you took of 2 of 5-penny coins mentally).

Solved without equations.

If you want to see, how to solve the problem in more traditional way, read these lessons
    - 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
in this site.