SOLUTION: Bill and Ted have the same number of coins. Bill has only dimes and Ted has only quarters. If Ted has $3.00 more than Bill, how much does Ted have?

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Question 1114563: Bill and Ted have the same number of coins. Bill has only dimes and Ted has only quarters. If Ted has $3.00 more than Bill, how much does Ted have?
Found 2 solutions by greenestamps, josmiceli:
Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


Each quarter is worth 15 cents more than each dime. Since the numbers of quarters and dimes is the same, the number of dimes or quarters is 3 dollars divided by 15 cents: 300/15 = 20.

So Ted has 20 dimes ($2) and Bill has 20 quarters ($5).

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +n+ = number of coins Bill has
+n+ = number of coins Ted has also
----------------------------------------
Value of Bill's coins is:
+10n+
Value of Ted's coins is:
+25n+
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+25n+=+10n+%2B+300+ ( in cents )
+15n+=+300+
+n+=+20+
---------------
Ted has:
+25n+=+25%2A20+
+25n+=+500+
Ted has $5.00
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check:
Bill has:
+10n+=+10%2A20+
+10n+=+200+
and
+500+-+200+=+300+
Ted has $3.00 more than Bill