Answer:
We can use the following steps to determine the different amounts of money that can be made from a collection of coins that consists of two pennies, one nickel, and one dime:
Step 1: List out all the different combinations of coins that can be used to make the different amounts of money.
Two pennies
One penny and one nickel
One penny and one dime
Two pennies and one nickel
Two pennies and one dime
One nickel and one dime
Two pennies, one nickel, and one dime
Step 2: Calculate the value of each combination of coins.
Two pennies = $0.02
One penny and one nickel = $0.06
One penny and one dime = $0.11
Two pennies and one nickel = $0.07
Two pennies and one dime = $0.12
One nickel and one dime = $0.15
Two pennies, one nickel, and one dime = $0.17
Step 3: Write down the total amount of money that can be made from each combination.
Final Answer: There are 7 different amounts of money that can be made from a collection of coins that consists of two pennies, one nickel, and one dime, they are $0.02, $0.06, $0.11, $0.07, $0.12, $0.15, and $0.17