Question

If (3a + 2b ) : 5a +3b) =18:29, find a:b

Answer 1

$\frac{3a+2b}{5a+3b}=\frac{18}{29},\qquad \text{encontrar:}\ \frac{a}{b}$

$\frac{3a+2b}{5a+3b}=\frac{18}{29}\\\\(3a+2b)(29)=(5a+3b)(18)\\87a+58b=90a+54b\\87a-90a=54b-58b\\-3a=-4b\\3a=4b\\a=\frac{4}{3}b\\\\\boxed{\frac{a}{b}=\frac{4}{3}}$