SOLUTION: What number of quarters, dimes, nickles and pennies add up to 1 dollar. You need at least one of each type of coin. Can you do this as an equation and not using "trial and error"

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Question 238138: What number of quarters, dimes, nickles and pennies add up to 1 dollar. You need at least one of each type of coin. Can you do this as an equation and not using "trial and error"?
Answer by Edwin McCravy(20086) About Me  (Show Source):
You can put this solution on YOUR website!
What number of quarters, dimes, nickles and pennies add up to 1 dollar. You need at least one of each type of coin. Can you do this as an equation and not using "trial and error"?


Not as an equation. But here are all 60 ways:

1. 1 quarter, 1 dime, 1 nickle and 60 pennies.
2. 1 quarter, 1 dime, 2 nickles and 55 pennies.
3. 1 quarter, 1 dime, 3 nickles and 50 pennies.
4. 1 quarter, 1 dime, 4 nickles and 45 pennies.
5. 1 quarter, 1 dime, 5 nickles and 40 pennies.
6. 1 quarter, 1 dime, 6 nickles and 35 pennies.
7. 1 quarter, 1 dime, 7 nickles and 30 pennies.
8. 1 quarter, 1 dime, 8 nickles and 25 pennies.
9. 1 quarter, 1 dime, 9 nickles and 20 pennies.
10. 1 quarter, 1 dime, 10 nickles and 15 pennies.
11. 1 quarter, 1 dime, 11 nickles and 10 pennies.
12. 1 quarter, 1 dime, 12 nickles and 5 pennies.
13. 1 quarter, 2 dimes, 1 nickle and 50 pennies.
14. 1 quarter, 2 dimes, 2 nickles and 45 pennies.
15. 1 quarter, 2 dimes, 3 nickles and 40 pennies.
16. 1 quarter, 2 dimes, 4 nickles and 35 pennies.
17. 1 quarter, 2 dimes, 5 nickles and 30 pennies.
18. 1 quarter, 2 dimes, 6 nickles and 25 pennies.
19. 1 quarter, 2 dimes, 7 nickles and 20 pennies.
20. 1 quarter, 2 dimes, 8 nickles and 15 pennies.
21. 1 quarter, 2 dimes, 9 nickles and 10 pennies.
22. 1 quarter, 2 dimes, 10 nickles and 5 pennies.
23. 1 quarter, 3 dimes, 1 nickle and 40 pennies.
24. 1 quarter, 3 dimes, 2 nickles and 35 pennies.
25. 1 quarter, 3 dimes, 3 nickles and 30 pennies.
26. 1 quarter, 3 dimes, 4 nickles and 25 pennies.
27. 1 quarter, 3 dimes, 5 nickles and 20 pennies.
28. 1 quarter, 3 dimes, 6 nickles and 15 pennies.
29. 1 quarter, 3 dimes, 7 nickles and 10 pennies.
30. 1 quarter, 3 dimes, 8 nickles and 5 pennies.
31. 1 quarter, 4 dimes, 1 nickle and 30 pennies.
32. 1 quarter, 4 dimes, 2 nickles and 25 pennies.
33. 1 quarter, 4 dimes, 3 nickles and 20 pennies.
34. 1 quarter, 4 dimes, 4 nickles and 15 pennies.
35. 1 quarter, 4 dimes, 5 nickles and 10 pennies.
36. 1 quarter, 4 dimes, 6 nickles and 5 pennies.
37. 1 quarter, 5 dimes, 1 nickle and 20 pennies.
38. 1 quarter, 5 dimes, 2 nickles and 15 pennies.
39. 1 quarter, 5 dimes, 3 nickles and 10 pennies.
40. 1 quarter, 5 dimes, 4 nickles and 5 pennies.
41. 1 quarter, 6 dimes, 1 nickle and 10 pennies.
42. 1 quarter, 6 dimes, 2 nickles and 5 pennies.
43. 2 quarters, 1 dime, 1 nickle and 35 pennies.
44. 2 quarters, 1 dime, 2 nickles and 30 pennies.
45. 2 quarters, 1 dime, 3 nickles and 25 pennies.
46. 2 quarters, 1 dime, 4 nickles and 20 pennies.
47. 2 quarters, 1 dime, 5 nickles and 15 pennies.
48. 2 quarters, 1 dime, 6 nickles and 10 pennies.
49. 2 quarters, 1 dime, 7 nickles and 5 pennies.
50. 2 quarters, 2 dimes, 1 nickle and 25 pennies.
51. 2 quarters, 2 dimes, 2 nickles and 20 pennies.
52. 2 quarters, 2 dimes, 3 nickles and 15 pennies.
53. 2 quarters, 2 dimes, 4 nickles and 10 pennies.
54. 2 quarters, 2 dimes, 5 nickles and 5 pennies.
55. 2 quarters, 3 dimes, 1 nickle and 15 pennies.
56. 2 quarters, 3 dimes, 2 nickles and 10 pennies.
57. 2 quarters, 3 dimes, 3 nickles and 5 pennies.
58. 2 quarters, 4 dimes, 1 nickle and 5 pennies.
59. 3 quarters, 1 dime, 1 nickle and 10 pennies.
60. 3 quarters, 1 dime, 2 nickles and 5 pennies.


Edwin