how many ways can you make change for a dollar using quarters and pennies?!?

Question: can someone really explain this problem. really explain it!!

Answer: 3 Quarters can be the majority filler... while pennies just fill up the remaining gap. You can use one quarter, two quarters or three quarters... the remaining 75 cents, 50 cents, and 25 cents, respectively, is made in pennies. As long as both pennies and quarters are required, no fewer than one quarter, no more than three. At zero quarters, all 100 cents are pennies... at zero pennies, all 100 cents are quarters.... either way, you are only using one type of coin. So, the answer is three... for each set of how many quarters you can use. One, two or three. As long as the order of dispensation does not matter, the answer is three.

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