To solve for [tex]\( s \)[/tex] in the equation [tex]\( p = \frac{3(s + 100)}{4} \)[/tex], follow these steps:
1. Start with the given equation:
[tex]\[ p = \frac{3(s + 100)}{4} \][/tex]
2. Clear the fraction by multiplying both sides by 4 to eliminate the denominator on the right side:
[tex]\[ 4p = 3(s + 100) \][/tex]
3. Distribute the 3 on the right side:
[tex]\[ 4p = 3s + 300 \][/tex]
4. Isolate [tex]\( s \)[/tex] by getting all [tex]\( s \)[/tex]-terms on one side: Subtract 300 from both sides:
[tex]\[ 4p - 300 = 3s \][/tex]
5. Solve for [tex]\( s \)[/tex] by dividing both sides by 3:
[tex]\[ s = \frac{4p - 300}{3} \][/tex]
So, the equation solved for [tex]\( s \)[/tex] is:
[tex]\[ s = \frac{4p - 300}{3} \][/tex]
Among the given choices, the correct one is:
[tex]\[ s = \frac{4p - 300}{3} \][/tex]
