How many ways can you have 25 cents in change?

Question

Like in a math equation. How many combinations of pennies, nickels, and dimes. Thanks for your help!

Answer 1

Let's see.

Two dimes and one nickel
One dime and three nickels
Five nickels.

You can have five pennies in place of one nickel in any of the above sitiuations.

So you could have:

Two dimes and five pennies
One dime and two nickels and five pennies
Four nickels and five pennies.

But once again, you can have five pennies in place of one nickel in any of the above sitiuations. (Now, D = dime, N = nickel, P = penny)

1D, 1N, 10 P
3N, 10P

One more time

1D, 15P
2N, 15P

And again:

1N, 20P

One last time

25P

I count 12 ways.

Answer 2

Start with no pennies:
1) 2 dimes, 1 nickel
2) 1 dime, 3 nickels
3) 5 nickels

Now try 5 pennies:
4) 2 dimes, 5 pennies
5) 1 dimes, 2 nickels, 5 pennies
6) 4 nickels, 5 pennies

Now try 10 pennies
7) 1 dime, 1 nickel, 10 pennies
8) 3 nickels, 10 pennies

Then 15 pennies
9) 1 dime, 15 pennies
10) 2 nickels, 15 pennies

And 20 pennies:
11) 1 nickel, 20 pennies

Finally:
12) 25 pennies

That's a total of 12 different ways.

Answer 3

all of the combinations I could think of
1. 25 pennies
2. 20 pennies and a nickle
3. 15 pennies and a dime
4. 15 pennies and 2 nickles
5. 10 pennies, a dime, and a nickle
6. 10 pennies, 3 nickles
7. 5 pennies 2 dimes
8. 5 pennies 4 nickles
9. 5 pennies 1 dime 2 nickles
10. 5 nickles
11. 3 nickles and 1 dime
12. 2 dimes and 1 nickle
(extra: 1 quarter)

Answer 4

1. all pennies
2. two dimes and 5 pennies
3. two dimes and a nickel
4. 5 nickels
5. five pennies and 4 nickels
6. 10 pennies and 3 nickels
7. 15pennies and a dime
8. 15 pennies and 2 nickels
9. 20 pennies and 1 nickel
10. a dime, a nickel and 10 pennies
11. a dime, 5 pennies and two nickel

This is all I can come up with....good luck

Answer 5

25 pennies, 5 nickels, 3 nickels 1 dime, 2 dimes 1 nickel, 5 pennies 2 dimes, 10 pennies 1 nickel, 1 dime, 15 pennies 1 dimes, 20 pennies 1 nickel,

Answer 6

I found 12 ways (P = pennies N = nickels D = dimes )

25P
1N 20P
2N 15P
3N 10P
4N 5P
5N
1D 15P
2D 5P
1N 2D
1N 1D 10P
2N 1D 5P
3N 1D

Yeah I did it;) I dont think there are any more

Answer 7

I concur with puzzling, except that puzzling listed 13 different ways, not 12, counting the solid quarter

Answer 8

What about one quarter?! That makes it 13 !!

Answer 9

12 ways I think.

Good luck!

Answer 10

all of them.

For 25 cents, you would never use dollars!!!