Answer:
176 cents
Step-by-step explanation:
We need to find an amount that cannot be obtained by using a combination of coins whose total is less than 8.
For that purpose, first, we need to find the greatest amount that can be obtained from 7 coins of pennies, nickels, dimes and quarters.
One cent more than that amount will be the correct amount we need to find.
The greatest amount from 7 coins will be 7 quarters.
7 quarters = 7 × 25 = 175 cents
Now, 175 + 1 = 176 cents is the least total amount that cannot be obtained by using a combination of fewer than eight coins from pennies, nickels, dimes and quarters.