To solve the given equation for the amount of Sugar Cookies, \( S \), we start with the equation provided:
[tex]\[ P = 3S \][/tex]
Here, \( P \) represents the number of Peanut Butter Cookies, and \( S \) represents the number of Sugar Cookies.
We need to isolate \( S \) on one side of the equation. To do this, we can divide both sides of the equation by 3:
[tex]\[ \frac{P}{3} = \frac{3S}{3} \][/tex]
Simplifying the right side, we have:
[tex]\[ \frac{P}{3} = S \][/tex]
So, the number of Sugar Cookies, \( S \), can be determined by dividing the number of Peanut Butter Cookies, \( P \), by 3.
For instance, if Kayli made 15 Peanut Butter Cookies, we can calculate the number of Sugar Cookies as follows:
[tex]\[ S = \frac{P}{3} = \frac{15}{3} = 5 \][/tex]
Therefore, if Kayli made 15 Peanut Butter Cookies, she made 5 Sugar Cookies.