Question

If a : b = 2 : 3, then (3a + 2b): (5a + 3b) is equal
to

A. 13/20
B. 24/19
C. 12/19
D. 13/21
​

Answer 1

So it will be your answer

C. 12/19

Answer 2

Step-by-step explanation:

a:b = 2:3 that means

a/b = 2/3

therefore 3a = 2b

so (3a+2b)/(5a+3b)

= (2b+2b)/[(3a+2a)+(2b+b)]

= 4b/[(2b+2a+3b)]

=4b/(5b+2a)

now 4b =6a , a=2 , b=3

therfore 4b=6a= 12

and b=3 , a=2

therefore (5b+2a)=19

so answer is C.12/19