SOLUTION: Suppose there is a pile of​ quarters, dimes, and pennies with a total value of ​$ 1.16 ​(a). How much of each coin can be present without being able to make change for

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Question 1141960: Suppose there is a pile of​ quarters, dimes, and pennies with a total value of ​$
1.16

​(a). How much of each coin can be present without being able to make change for a​ dollar? If there are multiple selections of coins that will​ work, choose the selection with the largest total number of coins.

Answer by ikleyn(52798) About Me  (Show Source):
You can put this solution on YOUR website!
.
Two possible solutions are :

    (a)  3 quarters, 4 dimes and 1 penny. 

    (b)  1 quarter,  9 dimes and 1 penny. 

It is (almost) clear (= obvious) that there are no other solutions.

The favorable solution is (b).