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

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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) About Me  (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  30%2F%2825-10%29 = 30%2F15 = 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.