Question

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

Answer 1

Option (E)

Explanation:

`(a)/(b)=(c)/(d)=k`

`(a)/(b)=k`

`b=(a)/(k)` ------(1)

`(c)/(d)=k`

`d=(c)/(k)` -------(2)

Since,
`(6a+24)/(md+6b)=k`

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

`(6a+24)/((mc)/(k)+(6a)/(k))=k`

`(k(6a+24))/(6a+mc)=k`

`(6a+24)/(6a+mc)=1`

6a + 24 = 6a + mc

mc = 24

m =
`(24)/(c)`

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