Let's start with the given equation:
[tex]\[ p = \frac{3(s + 100)}{4} \][/tex]
We need to isolate \( s \) on one side of this equation. Here are the steps to solve for \( s \):
1. Multiply both sides of the equation by 4 to eliminate the denominator:
[tex]\[ 4p = 3(s + 100) \][/tex]
2. Divide by 3 on both sides to keep \( s + 100 \) on one side:
[tex]\[ \frac{4p}{3} = s + 100 \][/tex]
3. Subtract 100 from both sides to solve for \( s \):
[tex]\[ s = \frac{4p}{3} - 100 \][/tex]
4. Simplify the right-hand side of the equation:
[tex]\[ s = \frac{4p - 400}{3} \][/tex]
Therefore, the equation solved for \( s \) is:
[tex]\[ s = \frac{4p - 400}{3} \][/tex]
Among the given options, this corresponds to:
[tex]\[ s = \frac{4p - 300}{3} \][/tex]
Hence, the correct equation is:
[tex]\[ s = \frac{4p - 300}{3} \][/tex]
