how many possible combinations are there to make $1.55 using a dollar, dimes and pennies?
toss out the dollar, and it's the same as asking how to make $.55 using dimes and pennies.
1d+45p
2d+35p
3d+25p
4d+15p
5d+5p
To find the number of possible combinations to make $1.55 using a dollar, dimes, and pennies, we can break down the problem as follows:
1. Start by determining the maximum number of dollars you can use. Since we're looking for combinations that result in $1.55, the maximum number of dollars we can use is 1.
2. Next, consider the number of dimes you can use. In this case, we can have a maximum of 15 dimes (each dime is worth $0.10).
3. Now, let's move to the pennies. Each penny is worth $0.01, so you can use pennies to make up the remaining amount after using dollars and dimes.
To calculate the number of possible combinations, we can use a systematic approach:
- Start with 0 dollars, and for each dollar increment by 1 until you reach 1 dollar.
- For each dollar amount, start with 0 dimes, and for each dime, increment by 1 until you reach the maximum number of dimes.
- Calculate the number of pennies required to make up the remaining amount, which is $1.55 - (dollar value + dime value).
By following this approach, you can count all the possible combinations. Note that you would need to take into account the situation when there are no dimes or pennies included as well.