you have one penny one nickel one dime and one quarter. how many different amounts of money can you make using one or more of these coins ... please help..me..:(
P
PN
Pq
Pd
PND
PNQ
PDQ
PNDQ
QND
QD
QN
ND
N
D
Q
Are there any more?
seven +eight=twelve
what is the answer without repeating
To find out the different amounts of money you can make using one or more of these coins, you can begin by listing all the possible combinations.
1. Start with using only one coin:
- Penny: 1 cent
- Nickel: 5 cents
- Dime: 10 cents
- Quarter: 25 cents
2. Then, consider using two coins:
- Penny + Nickel: 1 + 5 = 6 cents
- Penny + Dime: 1 + 10 = 11 cents
- Penny + Quarter: 1 + 25 = 26 cents
- Nickel + Dime: 5 + 10 = 15 cents
- Nickel + Quarter: 5 + 25 = 30 cents
- Dime + Quarter: 10 + 25 = 35 cents
3. Next, look at combinations of three coins:
- Penny + Nickel + Dime: 1 + 5 + 10 = 16 cents
- Penny + Nickel + Quarter: 1 + 5 + 25 = 31 cents
- Penny + Dime + Quarter: 1 + 10 + 25 = 36 cents
- Nickel + Dime + Quarter: 5 + 10 + 25 = 40 cents
4. Finally, consider using all four coins:
- Penny + Nickel + Dime + Quarter: 1 + 5 + 10 + 25 = 41 cents
In total, you can make different amounts of money using one or more of these coins: 1 cent, 5 cents, 10 cents, 25 cents, 6 cents, 11 cents, 26 cents, 15 cents, 30 cents, 35 cents, 16 cents, 31 cents, 36 cents, 40 cents, and 41 cents.
To find out how many different amounts of money you can make using the given coins, you need to consider all possible combinations of the coins. Here's a step-by-step approach to solve this:
1. Start with the individual coins. You have:
- 1 penny (worth $0.01)
- 1 nickel (worth $0.05)
- 1 dime (worth $0.10)
- 1 quarter (worth $0.25)
2. Take all the individual coins themselves as separate amounts, which gives you 4 different amounts:
- $0.01 (1 penny)
- $0.05 (1 nickel)
- $0.10 (1 dime)
- $0.25 (1 quarter)
3. Next, consider the combinations of two coins. You have a total of 6 combinations to consider:
- $0.01 + $0.05 = $0.06
- $0.01 + $0.10 = $0.11
- $0.01 + $0.25 = $0.26
- $0.05 + $0.10 = $0.15
- $0.05 + $0.25 = $0.30
- $0.10 + $0.25 = $0.35
4. Now, let's consider three coins. There are 4 combinations to consider:
- $0.01 + $0.05 + $0.10 = $0.16
- $0.01 + $0.05 + $0.25 = $0.31
- $0.01 + $0.10 + $0.25 = $0.36
- $0.05 + $0.10 + $0.25 = $0.40
5. Finally, consider combining all four coins together. There is only one combination:
- $0.01 + $0.05 + $0.10 + $0.25 = $0.41
Adding up all the different amounts, we get a total of 4 + 6 + 4 + 1 = 15 different amounts of money that can be made using these coins.
Hope this helps!