Sum

If a : b = 3 : 8. Find the value of `(4a + 3b)/(6a - b)`

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#### Solution

a : b = 3 : 8

`=> a/b = 3/8`

`(4a + 3b)/(6a - b) = (4(a/b) + 3)/(6(a/b) - 1)` (Dividing each term by b)

`= (4(3/8) + 3)/(6(3/8) - 1)`

`= (3/2 + 3)/(9/4 - 1)`

`= (9/2)/(5/4)`

= `18/5`

Concept: Concept of Ratio

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