A coin bank has 250 coins, dimes and quarters, worth $39.25. How many of each type of coin are there?

1 Answer
Olivier B.
Jun 7, 2016

The bank has #95# quarters and #155# dimes.

Explanation:

If the bank has only quarters and dimes, and its total amount of coins is 250, then be #x# the amount of quarters it has, it will have #250-x# dimes.

A quarter is worth #0.25$#, a dime is worth #0.10$# and the #250# coins together are worth #39.25$#. Therefore, we have the following equation:

#0.25x+0.1(250-x)=39.25#
#rarr 0.25x+25-0.1x=39.25#
#rarr 0.25x-0.1x=39.25-25#
#rarr (0.25-0.1)x=14.25#
#rarr x=14.25/0.15=95#
#rarr 250-x=155#

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