SOLUTION: I have a jar filled with $100 worth of quarters, nickels, and dimes. I have the same amount of each type of coin. How many total coins do I have in my jar?

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Question 487219: I have a jar filled with $100 worth of quarters, nickels, and dimes.
I have the same amount of each type of coin. How many total coins do I have in my jar?

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let n = the number of each type of coin
+25n+ = cash amount of quarters ( in cents )
+5n+ = cash amount of nickels ( in cents )
+10n+ = cash amount of dimes ( in cents )
---------------
+25n+%2B+5n+%2B+10n+=+10000+ ( in cents )
+40n+=+10000+
+n+=+250+
There are 250 of each type of coin, so
there are +250%2A3+=+750+ total coins
check answer:
+25n+%2B+5n+%2B+10n+=+10000+
+25%2A250+%2B+5%2A250+%2B+10%2A250+=+10000+
+6250+%2B+1250+%2B+2500+=+10000+
+10000+=+10000+
OK