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if i have 56 coins and it adds up to 5.00 how many nickels and quarters do i have?
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5n + 25*(56-n) = 500 cents,
where "n" is the number of nickels.
Solve for n:
5n + 1400 - 25n = 500,
-20n = 500 - 1400,
-20n = -900 ---> n = = 45.
The number of nickels is 45, the number of quarters is 56-45 = 11.
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".