Jordan has three bills in her wallet. They might be any combination of $5,$10, and/or $20 bills.
a) Fill in the organized list to show ll the possible combination of bills.
10,10,5
10,10, 20
10,10,10
To find all the possible combinations of bills, we can list out the different scenarios:
Option 1: Jordan has three $5 bills
Option 2: Jordan has two $5 bills and one $10 bill
Option 3: Jordan has one $5 bill and two $10 bills
Option 4: Jordan has three $10 bills
Option 5: Jordan has one $5 bill and two $20 bills
Option 6: Jordan has two $5 bills, one $10 bill, and one $20 bill
Option 7: Jordan has one $10 bill and two $20 bills
Option 8: Jordan has three $20 bills
So, the organized list to show all the possible combinations of bills is:
1. 3 x $5 bills
2. 2 x $5 bills + 1 x $10 bill
3. 1 x $5 bill + 2 x $10 bills
4. 3 x $10 bills
5. 1 x $5 bill + 2 x $20 bills
6. 2 x $5 bills + 1 x $10 bill + 1 x $20 bill
7. 1 x $10 bill + 2 x $20 bills
8. 3 x $20 bills
To find all the possible combinations of bills, we can use a systematic approach by listing out all the combinations. Let's start with Jordan's wallet and the three bills she has: $5, $10, and $20.
To list all the possible combinations, we'll consider each bill one by one and go through the possibilities. Here's how we can do it:
1. Start with the first bill: $5.
- The first bill can either be a $5, $10, or $20.
- If the first bill is $5, move on to the second bill.
2. Move on to the second bill: $10.
- The second bill can be a $5, $10, or $20.
- If the second bill is $5, move on to the third bill.
3. Move on to the third bill: $20.
- The third bill can be a $5, $10, or $20.
By considering all the possibilities for each bill, we can list all the combinations:
1. $5, $5, $5
2. $5, $5, $10
3. $5, $5, $20
4. $5, $10, $5
5. $5, $10, $10
6. $5, $10, $20
7. $5, $20, $5
8. $5, $20, $10
9. $5, $20, $20
10. $10, $5, $5
11. $10, $5, $10
12. $10, $5, $20
13. $10, $10, $5
14. $10, $10, $10
15. $10, $10, $20
16. $10, $20, $5
17. $10, $20, $10
18. $10, $20, $20
19. $20, $5, $5
20. $20, $5, $10
21. $20, $5, $20
22. $20, $10, $5
23. $20, $10, $10
24. $20, $10, $20
25. $20, $20, $5
26. $20, $20, $10
27. $20, $20, $20
Therefore, there are a total of 27 possible combinations of bills that Jordan can have in her wallet.
5, 5, 5
5, 5, 10
5, 5, 20
Take it from there.