Answer: The correct option is (b) p = 5.
Step-by-step explanation: We are given to solve the following equation :
\(\dfrac{5}{3p}+\dfrac{2}{3}=\dfrac{5+p}{2p}.\)
We will be solving the given equation for the value of the unknown variable p.
We have
\(\dfrac{5}{3p}+\dfrac{2}{3}=\dfrac{5+p}{2p}\\\\\\\Rightarrow \dfrac{5+2p}{3p}=\dfrac{5+p}{2p}\\\\\\\Rightarrow \dfrac{5+2p}{3}=\dfrac{5+p}{2}\\\\\\\Rightarrow 2(5+2p)=3(5+p)\\\\\Rightarrow 10+4p=15+3p\\\\\Rightarrow 4p-3p=15-10\\\\\Rightarrow p=5.\)
Thus, the required value of p is 5. And, so the solution of the given equation is p = 5.
Option (b) is CORRECT.
