If $$\frac{a}{b} = \frac{3}{4}$$ and 8a + 5b = 22, then the value of a is

Correct option is D

Given:

​$$\frac{a}{b} = \frac{3}{4}$$​​

8a + 5b = 22

Solution:

From the ratio

Let a = 3x and b = 4x

Substituting into the equation

8a + 5b = 22

8(3x) + 5(4x) = 22

24x + 20x = 22

44x = 22 

​$$x = \frac{22}{44} = \frac{1}{2}$$ ​

Now, 

a = $$3\times\frac{1}{2} = \frac32$$​​