Final answer:
To find the least total amount that cannot be obtained using fewer than eight coins, we need to consider the values of the coins and find the combinations that can be used to obtain different amounts. The least total amount is 29 cents.
Step-by-step explanation:
The problem asks for the least total amount in cents that cannot be obtained using a combination of fewer than eight coins. To solve this, we need to consider the values of pennies, nickels, dimes, and quarters and determine the combinations that can be used to obtain different amounts. We start by checking the values of the coins:
- 1 penny = 1 cent
- 1 nickel = 5 cents
- 1 dime = 10 cents
- 1 quarter = 25 cents
We can use a combination of coins to obtain different amounts. For example, we can obtain 3 cents using 3 pennies or 1 nickel and 2 pennies. We can continue this process for all possible amounts up to 7 coins. By doing this, we can find the least total amount that cannot be obtained using fewer than eight coins.
The least total amount that cannot be obtained using fewer than eight coins is 29 cents.