To solve for [tex]\( s \)[/tex] in the given equation [tex]\( p = \frac{3(s + 100)}{4} \)[/tex], follow these steps:
1. Multiply both sides by 4 to eliminate the denominator:
[tex]\[
4p = 3(s + 100)
\][/tex]
2. Divide both sides by 3 to isolate the term with [tex]\( s \)[/tex]:
[tex]\[
\frac{4p}{3} = s + 100
\][/tex]
3. Subtract 100 from both sides to solve for [tex]\( s \)[/tex]:
[tex]\[
s = \frac{4p}{3} - 100
\][/tex]
Therefore, the equation solved for [tex]\( s \)[/tex] is:
[tex]\[
s = \frac{4p}{3} - 100
\][/tex]
Given the options, the correct equation for [tex]\( s \)[/tex] is not explicitly listed. However, the correct form based on our calculations is:
[tex]\[
s = \frac{4p}{3} - 100
\][/tex]