Greg has a dollar bill, quarters, and dimes.
Fill in the table to show the ways he can make $3.75.
How many ways can he make $3.75?
start with the maximum amounts of the biggest items, and work your way down
dollars, quarters, dime could be
3 3 0
3 1 5
2 7 0
2 5 5
2 3 10
2 1 15
and so on down to
0 1 35
"a dollar bill" ... one
oobleck's technique is good...just start in the right place
... always no more than a 1 in the 1st position
1 11 0 ... etc.
oops. I missed the "a dollar bill"
I'll just take credit for a more general solution :-)
To find out how many ways Greg can make $3.75 using dollar bills, quarters, and dimes, we can start by listing the possible combinations of coins.
First, let's consider the options for using dollar bills:
- 3 one-dollar bills = $3.00
Now, let's consider the options for using quarters:
- 15 quarters = $3.75
- 10 quarters + 2 one-dollar bills = $3.50
- 5 quarters + 4 one-dollar bills = $3.25
- 0 quarters + 6 one-dollar bills + 5 dimes = $3.10
Finally, let's consider the options for using dimes:
- 35 dimes = $3.50
- 30 dimes + 1 one-dollar bill = $3.10
- 25 dimes + 2 one-dollar bills = $2.60
- 20 dimes + 3 one-dollar bills = $2.10
- 15 dimes + 4 one-dollar bills = $1.60
- 10 dimes + 5 one-dollar bills = $1.10
- 5 dimes + 6 one-dollar bills = $0.60
- 0 dimes + 7 one-dollar bills = $0.70
Based on these combinations, Greg can make $3.75 in 8 different ways.