You have stacks of quarters, dimes, nickels, and pennies (these represent $0.25, $0.10, $0.05, and $0.01, respectively,
Question:
You have stacks of quarters, dimes, nickels, and pennies (these represent $0.25, $0.10, $0.05, and $0.01, respectively, in the US monetary system). There are an unlimited number of coins in each stack. You can take coins from a stack in any amount and in any order and place them in your hand.
A) What is the greatest dollar value in coins you can have in your hands without being able to make change for a dollar, i.e, you should not have coins add up to $1.00 in any way or any combination, for example, four quarters will not work since it adds up to $1.00 or 2 quarters and 5 dimes will not work since they add up to a $1.00 also? The number can be higher than $1.00 but no combination of coins should total $1.00. The answer can be more or less than $1.00.
Discrete Mathematics and Its Applications
ISBN: 978-0073383095
7th edition
Authors: Kenneth H. Rosen