4 math wizards! help with money problem please!!!!?

Question

okay heres the question as it says. "How many ways can you have $1 using ONLY nickles dimes quarters and half dollars.?


please help i know some people can give me an answer!

help!!!!!!!!!!!!!!!!!!!i have only till tomorrow and its due!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answer 1

Start with the largest denomination:

2 Half Dollars
1 Half Dollar and 2 Quarters
1 HD, 1 Quarter, 2 Dimes, and 1 Nickel
1 HD, 1 Quarter, 1 Dime, and 3 Nickels
1 HD, 1 Quarter, and 5 Nickels
1 HD and 5 Dimes
1 HD, 4 Dimes, and 2 Nickels
1 HD, 3 Dimes, and 4 Nickels
1 HD, 2 Dimes, and 6 Nickels
1 HD, 1 Dime, and 8 Nickels
1 HD and 10 Nickels
4 Quarters
3 Quarters, 2 Dimes, and 1 Nickel
3 Quarters, 1 Dime, and 3 Nickels
3 Quarters and 5 Nickels
2 Quarters and 5 Dimes
2 Quarters, 4 Dimes, and 2 Nickels
2 Quarters, 3 Dimes, and 4 Nickels
2 Quarters, 2 Dimes, and 6 Nickels
2 Quarters, 1 Dime, and 8 Nickels
2 Quarters and 10 Nickels
1 Quarter, 7 Dimes, and 1 Nickel
1 Quarter, 6 Dimes, and 3 Nickels
1 Quarter, 5 Dimes, and 5 Nickels
1 Quarter, 4 Dimes, and 7 Nickels
1 Quarter, 3 Dimes, and 9 Nickels
1 Quarter, 2 Dimes, and 11 Nickels
1 Quarter, 1 Dime, and 13 Nickels
1 Quarter and 15 Nickels
10 Dimes
9 Dimes and 2 Nickels
8 Dimes and 4 Nickels
7 Dimes and 6 Nickels
6 Dimes and 8 Nickels
5 Dimes and 10 Nickels
4 Dimes and 12 Nickels
3 Dimes and 14 Nickels
2 Dimes and 16 Nickels
1 Dime and 18 Nickels
20 Nickels

Answer 2

39.

Copy and paste into excel, easier to view.

nickle dime quarter half dollar Total
1 20 0 0 0 100
2 18 1 0 0 100
3 16 2 0 0 100
4 15 0 1 0 100
5 14 3 0 0 100
6 13 1 1 0 100
7 12 4 0 0 100
8 11 2 1 0 100
9 10 5 0 0 100
10 10 0 2 0 100
11 10 0 0 1 100
12 9 3 1 0 100
13 8 6 0 0 100
14 8 1 2 0 100
15 8 1 0 1 100
16 7 4 1 0 100
17 6 7 0 0 100
18 6 2 2 0 100
19 6 2 0 1 100
20 5 5 1 0 100
21 5 0 1 1 100
22 5 0 3 0 100
23 4 8 0 0 100
24 4 3 0 1 100
25 3 6 1 0 100
26 3 1 1 1 100
27 3 1 3 0 100
28 2 9 0 0 100
29 2 4 2 0 100
30 2 4 0 1 100
31 1 7 1 0 100
32 1 2 1 1 100
33 1 2 3 0 100
34 0 10 0 0 100
35 0 5 2 0 100
36 0 5 0 1 100
37 0 0 4 0 100
38 0 0 2 1 100
39 0 0 0 2 100

Answer 3

You need 20 nickels for a $1
10 dimes for a $1
4 quarters for a $1
2 half dollars for a $1

You already have 4

Sounds like an advanced optimization problem where you have to optimize 5a + 10b + 25c + 50d = 100 subject to the above constraints.

Answer 4

1. 20 nickels

2. 18 nickels, 1 dime

3. 16 nickels, 2 dimes

3b. 15 nickels, 1 quarter

4. 14 nickels, 3 dimes

4b. 13 nickels, 1 quarter, 1 dime

5. 12 nickels, 4 dimes

5b. 11 nickels, 1 quarter, 2 dimes

6. 10 nickels, 5 dimes

7. 10 nickels,2 quarters

8. 10 nickels, 1 half dollar

this is getting too confusing - you need to do the rest yourself!
I am busy

Answer 5

about ten different ways.example: 1half dollar, 1quater,1nickle and 2dimes