Question : If $x:y= 5:2$, then $\frac{8x+9y}{8x +2y}=?$
Option 1: 22 : 29
Option 2: 26 : 61
Option 3: 29 : 22
Option 4: 61 : 26
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Correct Answer: 29 : 22
Solution :
Given:
$\frac{x}{y} = \frac{5}{2}$
⇒ $x= \frac{5y}{2}$
We have to find $\frac{8x+9y}{8x +2y}$
Putting the value of x in the above equation,
$\frac{8\times \frac{5y}{2}+9y}{8\times \frac{5y}{2} +2y} = \frac{4\times 5y+9y}{4\times 5y +2y} = \frac{20y+9y}{20y +2y}=\frac{29y}{22y} = \frac{29}{22}$
$\therefore$ The ratio is 29 : 22
Hence, the correct answer is 29 : 22.
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