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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?

User Scarysize
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1 Answer

3 votes

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

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

So, 1 ten and 4 fives.

b) We required 2 tens and 2 fives as


2* 10+2* 5=20+10=30

So, 2 tens and 2 fives

3) In terms of only tens we require 3 tens as


3* 10=30

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

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

So, 1 twenty and 1 ten.

Therefore, There are 6 different combinations.

User Adam Smooch
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