Suppose there is a pile of​ quarters, dimes, and pennies with a total value of ​$1.08.   ​(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.   ​(b). Explain why​ $1.19 is the greatest amount of money it is possible to have without being able to make change for a dollar.

College Algebra
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ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
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Suppose there is a pile of​ quarters, dimes, and pennies with a total value of
​$1.08.
 
​(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.
 
​(b). Explain why​ $1.19 is the greatest amount of money it is possible to have without being able to make change for a dollar.
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