Answer:
1. 6 fives.
2. 1 ten and 4 fives.
3. 2 tens and 2 fives.
4. 3 tens.
5. 1 twenty and 2 fives.
6. 1 twenty and 1 ten.
Explanation:
Given : A customer is owed $30.00.
To find : How many different combinations of bills,using only five, ten, and twenty dollars bills are possible to give his or her change?
Solution :
We have to split $30 in terms of only five, ten, and twenty dollars.
1) In terms of only five we required 6 fives as
![6* 5=30](https://img.qammunity.org/2020/formulas/mathematics/college/wcz2xjfkz6gxy3h2lqf8q5ib1r24wtu95e.png)
So, 6 fives.
2) In terms of only ten and five,
a) We required 1 ten and 4 fives as
![1* 10+4* 5=10+20=30](https://img.qammunity.org/2020/formulas/mathematics/college/bto3ii48qrqo6h4knfipjwprilymywamui.png)
So, 1 ten and 4 fives.
b) We required 2 tens and 2 fives as
![2* 10+2* 5=20+10=30](https://img.qammunity.org/2020/formulas/mathematics/college/axdwxo95cbgogtuc2jgj4nykdmo0zeaxfr.png)
So, 2 tens and 2 fives
3) In terms of only tens we require 3 tens as
![3* 10=30](https://img.qammunity.org/2020/formulas/mathematics/college/4ji93w4wm3kavvkmw39agqspiiwg0ikdjs.png)
So, 3 tens.
4) In terms of only twenty and five, we required 1 twenty and 2 fives as
![1* 20+2* 5=20+10=30](https://img.qammunity.org/2020/formulas/mathematics/college/jer0lx11d8koa1bttci6ag0trwcm2n5j7l.png)
So, 1 twenty and 2 fives.
5) In terms of only twenty and ten, we required 1 twenty and 1 ten as
![1* 20+1* 10=20+10=30](https://img.qammunity.org/2020/formulas/mathematics/college/cluj0zx6s57zso4i6495wdfc3axp4685al.png)
So, 1 twenty and 1 ten.
Therefore, There are 6 different combinations.