A cashier has only one dollar bills, quarters,and dimes. List all the ways you could receive $2.50 in change
$1 Bills Quarters Dimes
Ex. 2 2 0
I will start it for you.
2 0 5
1 4 5
0 8 5
0 10 0
Continue on.
To find all the ways you could receive $2.50 in change using only one dollar bills, quarters, and dimes, we need to consider different combinations of these three denominations.
Let's start by looking at the possible combinations of dollar bills, quarters, and dimes:
1. $2 in one dollar bills and 2 quarters, with no dimes:
- 2 one dollar bills + 2 quarters + 0 dimes.
2. $1 in one dollar bills, 5 quarters, and no dimes:
- 1 one dollar bill + 5 quarters + 0 dimes.
3. No dollars, 10 quarters, and no dimes:
- 0 one dollar bills + 10 quarters + 0 dimes.
4. $1 in one dollar bills, 2 quarters, and 5 dimes:
- 1 one dollar bill + 2 quarters + 5 dimes.
5. No dollars, 5 quarters, and 10 dimes:
- 0 one dollar bills + 5 quarters + 10 dimes.
Note: The order in which the denominations are listed does not matter. For example, 5 quarters and 10 dimes is the same as 10 dimes and 5 quarters.
So, in total, there are five ways to receive $2.50 in change using one dollar bills, quarters, and dimes.
2 2 0
0 8 5
1 0 15
1 2 10
0 0 22
0 4 15
1 6 0
0 6 10