Question

hello, please answer
if
$\frac{a}{b} = \frac{c}{d} = \frac{2}{5}$
then what is the answer of :
$\frac{a + 3c + 4}{b + 3d + 10}$
​

Answer 1

Step-by-step explanation:

${ \rm{a = c = \frac{2}{5} b}} \\ \\ { \rm{b = d = \frac{5}{2} a}}$

• Substitute:

${ \rm{ \frac{a + 3c + 4}{b + 3d + 10} = \frac{ \frac{2}{5} b + \frac{6}{5}b + 4 }{ b + \frac{15}{2} b + 10} }} \\ \\ = { \rm{ \frac{ \frac{8}{5} b + 4}{ \frac{17}{2}b + 10 } }} \\ \\ { \rm{}}$