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Problem Solving (PS) | Re: The United States mint produces coins in 1-cent, 5-cent, 10-cent, 25-c

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The number of minimum coins used to make 100 cents is 2 coins of 50 cents each.
The number of maximum coins used to make 100 cents is 100 coins of 1 cent each.
So, the number of coins could be any number from 2-100.

You can think of this:100 coins of 1 cent are required to make 100 cents.
5 coins of 1 cent each can be replaced with 1 coin of 5 cents so the total possible coins could be 96(100-4),92(100-4-4) , and so on.
Similarly,10 coins of 1 cent each can be replaced with 1 coin of 10 cents, hence the number of possible coins could be91(100-9),82(100-9-9) , and so on.So, 91 is a possibleoption.
Similarly,25 coins of 1 cent each can be replaced with 1 coin of 25 cents, hence the number of possible coins could be76(100-24),52(100-48) , and so on.So, 76 is a possibleoption.

There is no combination of 81 coins that could make 100 cents.

Hence, the correct answer is D.
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Statistics : Posted by PANK29GMATRAINER • on 27 Apr 2020, 14:43 • Replies 18 • Views 16410



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