a customer is owed $30.00. how many different combinations of bills,using only five, ten, and twenty dollars bills are possible to give his or her change?
Accepted Solution
A:
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.Step-by-step 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[tex]6\times 5=30[/tex]So, 6 fives.2) In terms of only ten and five,a) We required 1 ten and 4 fives as[tex]1\times 10+4\times 5=10+20=30[/tex]So, 1 ten and 4 fives.b) We required 2 tens and 2 fives as[tex]2\times 10+2\times 5=20+10=30[/tex]So, 2 tens and 2 fives3) In terms of only tens we require 3 tens as[tex]3\times 10=30[/tex]So, 3 tens.4) In terms of only twenty and five, we required 1 twenty and 2 fives as[tex]1\times 20+2\times 5=20+10=30[/tex]So, 1 twenty and 2 fives.5) In terms of only twenty and ten, we required 1 twenty and 1 ten as[tex]1\times 20+1\times 10=20+10=30[/tex]So, 1 twenty and 1 ten.Therefore, There are 6 different combinations.