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"

Algebra.Com
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)   (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
RELATED QUESTIONS

if there are at least one of each type of coin, and there are 28 coins in total, what... (answered by robertb)
Change for a dollar consisted of 15 coins (pennies, nickels, and dimes only) At least one (answered by solver91311)
Change for a dollar consisted of 15 coins pennies, nickels and dimes only. At least 1... (answered by richwmiller)
michael found 36 coins. 1/4 of them were pennies, 1/3 of them were nickles,1/6 of them... (answered by stanbon)
You've just opened your piggy bank to discover 55 coins totaling $10.00. If there are... (answered by josmiceli)
You have 50 cent: pennies,nickles, dimes, quarters, and half dollars. The total value of... (answered by FrankM)
How many ways can you make change of 94 cents using 50 cent coin,quarters,dimes,nickles... (answered by greenestamps)
Suppose you have quarters, dimes, and pennies with a value of $1.19. How many of each... (answered by stanbon)
a coin purse contains 3 quarters 6 dimes 2 nickles and 4 pennies. what is the probablity... (answered by stanbon)