Frank finds 12 coins on the floor of his car, and 3 of them are quarters. If he finds 40 more coins on the ground, at the same ratio as the coins found in his car, how many more coins will most likely be quarters?

Answer 1

Frank has found a total of 12 coins in his car, of which 3 are quarters. To find the ratio of quarters to total coins, we calculate:

\[ \text{Ratio of quarters} = \frac{\text{Number of quarters}}{\text{Total number of coins}} = \frac{3}{12} = \frac{1}{4} \]

Now, Frank finds 40 more coins. To determine how many of those coins will most likely be quarters, we apply the same ratio of quarters to total coins.

Using the ratio of \(\frac{1}{4}\), we can calculate the expected number of quarters in the 40 new coins:

\[ \text{Expected number of quarters} = \frac{1}{4} \times 40 = 10 \]

So, out of the 40 coins found on the ground, it is likely that \(10\) of them will be quarters.

Thus, the answer is:

\[ \boxed{10} \]