What is the largest amount of money Tosha could possibly have with 8 coins, having no more than 3 of any type?

To determine the largest amount of money Tosha could have with 8 coins, while adhering to the restriction of having no more than 3 of any type of coin, let's analyze the types of coins available in U.S. currency. The most effective denominations for maximizing the total amount are the quarter (25 cents), dime (10 cents), nickel (5 cents), and penny (1 cent).

Since the goal is to maximize the total amount, we start by using quarters, which are the highest denomination among the common coins. Tosha can use up to 3 quarters, which equals 75 cents. Next, we'll apply the remaining 5 coins to fill up the total.

If we use 3 quarters (75 cents), we can then use 3 dimes (30 cents, which is the next highest denomination). Adding these gives:

• 3 quarters = 75 cents

• 3 dimes = 30 cents

This sums to 75 + 30 = 105 cents or $1.05. With 2 more coins remaining to stay under the limit of 8 while maximizing the total amount, we can add additional lower denomination coins.

Using 2 more dimes will surpass the limit as we already have