6. Suppose there is a pile of quarters, dimes, and pennies with a total value of $1.17.
(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.
(a) Fill in the table below.

Quarters-

Dimes-

Pennies-

(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.
Choose the correct answer below.

A. It is not possible to have more than $1.19 without being able to make change for a dollar because the
problem did not allow nickels to be part of the pool of change, and it would require nickels to be able to
have more than $1.19 without being able to make change for a dollar.

B. When coins are selected that total $1.19 but do not allow change for a dollar, adding one more of any
type will then allow change to be made for a dollar. Therefore, it is not possible to have more than
$1.19 without being able to make change for a dollar.

C. It is possible to have more $1.19 and still not be able to make change for a dollar. The statement is
incorrect.

Please show work.