Please help me with <span title="math!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!?">math!!!!!!!!!!!!!!!!!!!!!...</span>

Question

1. The supermarket has a soft drink machine that dispenses cans for 50 cents a can. The machine will only accept quarters, dimes, and nickels. The order in which the coins are placed in the machine does not matter. How many different combinations of coins must the machine be programmed to accept?? Please show work.. 10p

Answer 1

25q + 10d + 5n = 50

q, d, n

2, 0, 0

1, 0, 5

1, 1, 3

1, 2, 1

0, 0, 10

0, 1, 8

0, 2, 6

0, 3, 4

0, 4, 2

0, 5, 0

10 combinations