Final answer:
There are five ways to make change for a dollar using nickels, dimes, and/or quarters.
Step-by-step explanation:
To make change for a dollar using nickels, dimes, and/or quarters, we need to find the number of ways to combine these coins to add up to one dollar. One approach is to use systematic counting.
Let's consider nickels first. We can have zero, one, two, three, or four nickels. Based on the number of nickels, we can determine the remaining amount needed using dimes and quarters.
If we have zero nickels, we can use twenty dimes to make one dollar.
If we have one nickel, we can use fifteen dimes and one quarter to make one dollar.
If we have two nickels, we can use ten dimes and two quarters to make one dollar.
If we have three nickels, we can use five dimes and three quarters to make one dollar.
If we have four nickels, we can use zero dimes and four quarters to make one dollar.
So, there are a total of five ways to make change for a dollar using nickels, dimes, and/or quarters.