In how many ways can you gather a sum of 15 cents. For example one possibly is 3 nickels?

Answer 1

6 ways

15 pennies
1 dime 5 pennies
2 nickles 5 pennies
1 nickle 10 pennies
1 dime 1 nickle
3 nickles

Answer 2

The Diophantine equation x + 2y + 5z + 10t = 15 has 22 non-negative integer solutions /in Europe there are 2 Euro-cents coins/:
x, y, z, t
1, 7, 0, 0
3, 6, 0, 0
5, 5, 0, 0
7, 4, 0, 0
9, 3, 0, 0
11, 2, 0, 0
13, 1, 0, 0
15, 0, 0, 0 (*)
0, 5, 1, 0
2, 4, 1, 0
4, 3, 1, 0
6, 2, 1, 0
8, 1, 1, 0
10, 0, 1, 0 (*)
1, 2, 2, 0
3, 1, 2, 0
5, 0, 2, 0 (*)
0, 0, 3, 0 (*)
1, 2, 0, 1
3, 1, 0, 1
5, 0, 0, 1 (*)
0, 0, 1, 1 (*)
If we exclude 2-cents coins, only those with y=0 (*) remain.

Answer 3

1) 15 pennies
2) 3 nickels
3) 1 dime, 1 nickel
4) 1 dime, 5 pennies
5) 5 pennies, 2 nickels
6) 10 pennies, 1 nickel
7) 15 pennies
8) 5 pennies, 1 dime

Answer 4

Why would you gather 15 cents? It is worth next to nothing.
Besides, there are germs on cash. Ewww.

Why don't you cut a quarter in 5 pieces (with a special cutter, that you will most likely find in your "eldest brother's" tool box, right next to that special drill that can drill all the way trough the earth) and take three pieces.

Answer 5

3 nickels
one dime, one nickel
one dime, 5 pennies
two nickels, 5 pennies
10 pennies, 1 nickel
15 pennies