Question

I didn’t understand how to solve this, i’d be happy if someone explained thank you

Answer 1

Answer:

Option (E)

Step-by-step explanation:

$\frac{a}{b}=\frac{c}{d}=k$

$\frac{a}{b}=k$

$b=\frac{a}{k}$ ------(1)

$\frac{c}{d}=k$

$d=\frac{c}{k}$ -------(2)

Since, $\frac{6a+24}{md+6b}=k$

By substituting the values of b and d from equation (1) and (2),

$\frac{6a+24}{\frac{mc}{k}+\frac{6a}{k}}=k$

$\frac{k(6a+24)}{6a+mc}=k$

$\frac{6a+24}{6a+mc}=1$

6a + 24 = 6a + mc

mc = 24

m = $\frac{24}{c}$

Therefore, Option (E) will be the correct option.