Case 1:
6 pencils for 6 cents
1 at four cents each
3 at two for a penny
2 at four for a penny

Case 2:
10 pencils for 10 cents
No solution found.

Case 3:
14 pencils for 14 cents
No solution found.

Case 4:
20 pencils for 20 cents
3 at four cents each
15 at two for a penny
2 at four for a penny

Case 5:
25 pencils for 25 cents
4 at four cents each
15 at two for a penny
6 at four for a penny

Case 6:
40 pencils for 40 cents
6 at four cents each
30 at two for a penny
4 at four for a penny

7 at four cents each
15 at two for a penny
18 at four for a penny

Case 7:
47 pencils for 47 cents
7 at four cents each
36 at two for a penny
4 at four for a penny

8 at four cents each
21 at two for a penny
18 at four for a penny

9 at four cents each
6 at two for a penny
32 at four for a penny

Case 8:
75 pencils for 75 cents
11 at four cents each
60 at two for a penny
4 at four for a penny

12 at four cents each
45 at two for a penny
18 at four for a penny

13 at four cents each
30 at two for a penny
32 at four for a penny

14 at four cents each
15 at two for a penny
46 at four for a penny

Case 9:
100 pencils for 100 cents
15 at four cents each
75 at two for a penny
10 at four for a penny

16 at four cents each
60 at two for a penny
24 at four for a penny

17 at four cents each
45 at two for a penny
38 at four for a penny

18 at four cents each
30 at two for a penny
52 at four for a penny

19 at four cents each
15 at two for a penny
66 at four for a penny

Case 10:
125 pencils for 125 cents
18 at four cents each
105 at two for a penny
2 at four for a penny

19 at four cents each
90 at two for a penny
16 at four for a penny

20 at four cents each
75 at two for a penny
30 at four for a penny

21 at four cents each
60 at two for a penny
44 at four for a penny

22 at four cents each
45 at two for a penny
58 at four for a penny

23 at four cents each
30 at two for a penny
72 at four for a penny

24 at four cents each
15 at two for a penny
86 at four for a penny

Case 11:
150 pencils for 150 cents
22 at four cents each
120 at two for a penny
8 at four for a penny

23 at four cents each
105 at two for a penny
22 at four for a penny

24 at four cents each
90 at two for a penny
36 at four for a penny

25 at four cents each
75 at two for a penny
50 at four for a penny

26 at four cents each
60 at two for a penny
64 at four for a penny

27 at four cents each
45 at two for a penny
78 at four for a penny

28 at four cents each
30 at two for a penny
92 at four for a penny

29 at four cents each
15 at two for a penny
106 at four for a penny

Case 12:
175 pencils for 175 cents
26 at four cents each
135 at two for a penny
14 at four for a penny

27 at four cents each
120 at two for a penny
28 at four for a penny

28 at four cents each
105 at two for a penny
42 at four for a penny

29 at four cents each
90 at two for a penny
56 at four for a penny

30 at four cents each
75 at two for a penny
70 at four for a penny

31 at four cents each
60 at two for a penny
84 at four for a penny

32 at four cents each
45 at two for a penny
98 at four for a penny

33 at four cents each
30 at two for a penny
112 at four for a penny

34 at four cents each
15 at two for a penny
126 at four for a penny

Case 13:
200 pencils for 200 cents
29 at four cents each
165 at two for a penny
6 at four for a penny

30 at four cents each
150 at two for a penny
20 at four for a penny

31 at four cents each
135 at two for a penny
34 at four for a penny

32 at four cents each
120 at two for a penny
48 at four for a penny

33 at four cents each
105 at two for a penny
62 at four for a penny

34 at four cents each
90 at two for a penny
76 at four for a penny

35 at four cents each
75 at two for a penny
90 at four for a penny

36 at four cents each
60 at two for a penny
104 at four for a penny

37 at four cents each
45 at two for a penny
118 at four for a penny

38 at four cents each
30 at two for a penny
132 at four for a penny

39 at four cents each
15 at two for a penny
146 at four for a penny

Case 14:
225 pencils for 225 cents
33 at four cents each
180 at two for a penny
12 at four for a penny

34 at four cents each
165 at two for a penny
26 at four for a penny

35 at four cents each
150 at two for a penny
40 at four for a penny

36 at four cents each
135 at two for a penny
54 at four for a penny

37 at four cents each
120 at two for a penny
68 at four for a penny

38 at four cents each
105 at two for a penny
82 at four for a penny

39 at four cents each
90 at two for a penny
96 at four for a penny

40 at four cents each
75 at two for a penny
110 at four for a penny

41 at four cents each
60 at two for a penny
124 at four for a penny

42 at four cents each
45 at two for a penny
138 at four for a penny

43 at four cents each
30 at two for a penny
152 at four for a penny

44 at four cents each
15 at two for a penny
166 at four for a penny

Case 15:
256 pencils for 256 cents
37 at four cents each
213 at two for a penny
6 at four for a penny

38 at four cents each
198 at two for a penny
20 at four for a penny

39 at four cents each
183 at two for a penny
34 at four for a penny

40 at four cents each
168 at two for a penny
48 at four for a penny

41 at four cents each
153 at two for a penny
62 at four for a penny

42 at four cents each
138 at two for a penny
76 at four for a penny

43 at four cents each
123 at two for a penny
90 at four for a penny

44 at four cents each
108 at two for a penny
104 at four for a penny

45 at four cents each
93 at two for a penny
118 at four for a penny

46 at four cents each
78 at two for a penny
132 at four for a penny

47 at four cents each
63 at two for a penny
146 at four for a penny

48 at four cents each
48 at two for a penny
160 at four for a penny

49 at four cents each
33 at two for a penny
174 at four for a penny

50 at four cents each
18 at two for a penny
188 at four for a penny

51 at four cents each
3 at two for a penny
202 at four for a penny

