"If you have three quarters, four dimes, and four pennies, you have $1.19. You also have the largest amount of money in coins without being able to make change for a dollar"

The given figure of $1.19 is still incorrect, as the addition of a half-cent would STILL leave one unable to make change for the dollar.
Or, instead of the four pennies, use 4 three cent pieces...



3x25 = 75
4x10 = 40
4x3   = 12
1x 1/2= 1/2
      -----
      127 1/2


The problem is that the statement is worded poorly.

"the largest amount of money in coins" is what is stated.

This thread is supposed to be about strange things- thus the odd values of coins...