If a:b = 2:5, the find the value of `((3a + 2b))/((4a + b))`.

Options

A. `(16)/(13)`
B. `(13)/(16)`
C. `(25)/(22)`
D. `(20)/(21)`

Answer

A

Explanation

Let a = 2k and b = 5k.
`rArr (3a + 2b)/(4a + b) = (3(2k) + 2(5k))/(4(2k) + 5k) = (16k)/(13k) = (16)/(13)`
Hence, the correct option is (a).