SOLUTION: Ratios if a: b =3 : 4, the value of (2a + 3 b) : (3a+4b)is

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Question 860918: Ratios

if a: b =3 : 4, the value of (2a + 3 b) : (3a+4b)is
Answer by mananth(16946) About Me  (Show Source):
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a: b =3 : 4, the value of (2a + 3 b) : (3a+4b)is
a%2Fb+=3+%2F4
a%2F3+=b%2F4
Let a%2F3+=b%2F4=+k

a=3k
b=4k
(2a + 3 b) : (3a+4b)

(2*3k + 3 *4k) / (3*3k+4*4k)
(6k+12k)/(9k+16k)
(18k)/(25k)
=18/25