Mr. K's Making Change

 equals 
One nickel equals five pennies  equals   + 
One dime equals two nickels
or
 equals 
One dime equals ten pennies
or
 equals   + 
One dime equals five pennies plus one nickel
 equals   + 
One quarter equals five pennies plus two dimes
or
 equals   + 
One quarter equals five pennies plus four nickels
or
 equals 
One quarter equals five nickels
or
 equals   + 
One quarter equals one dime plus three nickels
or
 equals   + 
One quarter equals two dimes plus one nickel

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25 || 15  + || 15  + 2 || 10  +  +  || 20  +  || 10  + 3  || 5  + 2  +  There are over 125 ways to make change for a half dollar
 equals   +   + 
One half dollar equals one quarter plus five pennies plus four nickels
or
 equals   + 
One half dollar equals two quarters
or
 equals   + 
One half dollar equals one quarter plus five nickels
or
 equals 50 ||  equals 10 ||  equals 5 || There are over 275 ways to make change for a dollar
 equals 100 ||  equals 20 ||  equals 10 ||