Question

If x : y = 2 : 3 then the value of $\frac{3x+2y}{9x+5y}$ will be

• A. $$\frac{4}{11}$$
• B. $$\frac{11}{2}$$
• C. $$\frac{1}{2}$$
• D. $$\frac{5}{14}$$

Answer 1

Answer:

$$\frac{4}{11}$$

Solution:

Given:

x : y = 2 : 3

Calculation:

As, x : y = 2 : 3

Then, x = 2k and  y = 3k

⇒ Put this ratio in this equation   $\frac{3x+2y}{9x+5y}$

⇒$\frac{3(2k)+2(3k)}{9(2k)+5(3k)}$

⇒ $\frac{12}{33} = \frac{4}{11}$

∴ The value of the given expression is $\frac{4}{11}$