SOLUTION: A man has 4.55 dollars in change composed entirely of dimes and quarters. What are the maximum and minimum number of coins that he can have? Is it possible for the number of dimes

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Question 1029149: A man has 4.55 dollars in change composed entirely of dimes and quarters. What are the maximum and minimum number of coins that he can have? Is it possible for the number of dimes to equal the number of quarters?
Found 2 solutions by josmiceli, ikleyn:
Answer by josmiceli(19441) About Me  (Show Source):
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The minimum number of coins will
make the greatest use of quarters
18 quarters = +18%2A.25+=+4.5+ 4.50
Too many quarters -only a nickel left
17 quarters = +17%2A.25+=+4.25+
+4.25+%2B+.3+=+4.55+
17 quarters and 3 dimes is minimum number of coins
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The maximum number of coins will
make the greatest use of dimes
44 dimes = +44%2A.1+=+4.4+ 4.40
Can't use this -only 15 cents left
43 dimes = +43%2A.1+=+4.3+ 4.30
+4.55+-+4.3+=+.25+
43 dimes and 1 quarter is the maximum number of coins

Answer by ikleyn(52787) About Me  (Show Source):
You can put this solution on YOUR website!
.
A man has 4.55 dollars in change composed entirely of dimes and quarters.
What are the maximum and minimum number of coins that he can have?
Is it possible for the number of dimes to be equal the number of quarters?
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Answer. Maximum number of coins that he can have is 1 quarter and 42 dimes, which is 43 coins in total.

        Minimum number of coins that he can have is 17 quarter and 3 dimes, which is 20 coins in total.

        It is possible for the number of dimes to be equal the number of quarters. 13 dimes and 13 quarters gives $4.55:  13*$0.1 + 13*$0.25 = $4.55.