Suppose there is a pile of​ quarters, dimes, and pennies with a total value of ​$1.18. ​(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.