Respuesta :
Answer: The correct option is
(b) 20.
Step-by-step explanation: We are given to solve the following proportion :
[tex]\dfrac{10}{a}=\dfrac{15}{30}~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]
We will be solving the given proportion by the method of cross-multiplication.
From (i), we have
[tex]\dfrac{10}{a}=\dfrac{15}{30}\\\\\\\Rightarrow \dfrac{10}{a}=\dfrac{1}{2}\\\\\\\Rightarrow a=2\times10\\\\\Rightarrow a=20.[/tex]
Thus, the required solution is a = 20.
Option (b) is CORRECT.
