SOLUTION: Kevin & Randy have a jar containing 50 coins all of which are either quarters or nickles. The total value of the coins in the jar is $5.30. How many of each type of coin do they

Question 997824: Kevin & Randy have a jar containing 50 coins all of which are either quarters or nickles. The total value of the coins in the jar is $5.30. How many of each type of coin do they have?
Quarters?
nickles?

Answer by ikleyn(52803)   (Show Source): You can put this solution on YOUR website!
.
You can solve this problem even without using equations.

Let us suppose for a moment that all 50 coins are 10-cent.
Then their value is 50*10 = $5.00. It is less than $5.30 in $30 cents.
It is clear that the difference is due to presence of 25-cent coins that we intently counted as 10-cent coins.
It is also clear that the number of these 25-cent coins is = = 2 to compensate the difference.
So, the answer is: there are 2 of 25-cent coins and 50-2 = 48 of 10-cent coins.

The solution is completed.

If you want to see more problems solved in this way, look into these lessons
    - Problem on two-wheel and three-wheel bicycles,
    - Problem on animals at a farm and
    - Problem on pills in containers
in this site.

See also the lesson Solving coin problems without using equations.

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