I had some pennies, nickels, dimes, and quarters in my pocket. When i reached in and pulled out some change. I had less than 10 coins whose value was 42 cents. What are all the possibilities f

Answer 1

P+N+D+Q is less than 10

P=5N+10D +25Q = 42

one possibility is 1 Q, 1 D 1 N and 2 P summing to 42

or another is 1 Q 3 N and 2P or

5D + 2P

or

4D + 2N + 2P

or

1Q + 3N+2P

or

1Q + 2N + 7P

or

keep trying all possibilities with a quarter among them, then without a quarter

all with dimes, then without any dimes

8N+2P is the only one without a dime

Do it with 1, 2, 3, and 4 dimes