Question 285147
25q + 10d + 5n + p = 17c


25q + 10d + 5n + p - 1 = 18(c - 1)


17c - 1 = 18c - 18 ___ 17 = c


q + d + n + p = 17


25q + 10d + 5n + p = 289


q ≤ 11 ___ p ≥ 4 ___ this would be 15 coins and 279 cents


two nickels makes 17 coins and 289 cents



this means NO dimes, which contradicts the opening sentence...