To determine how many utensils Mary Ellen will keep in the main drawer, we need to follow these steps:
1. Understand the initial number of utensils: According to the problem, Mary Ellen initially has 15 utensils.
2. Determine the fraction of utensils to keep: Mary Ellen decides to keep [tex]\(\frac{2}{3}\)[/tex] of the most used utensils accessible.
3. Calculate the number of utensils to keep: To find out how many utensils she will keep, you multiply the initial number of utensils by the fraction she wants to keep, which is:
[tex]\[
15 \times \frac{2}{3}
\][/tex]
4. Perform the multiplication:
[tex]\[
15 \times \frac{2}{3} = 10
\][/tex]
Thus, Mary Ellen will keep 10 utensils in the main drawer.
The correct answer is:
10 utensils
