question_answer

The following are the steps involved in finding the value of \[x:y,\]if \[\frac{3x+4y}{2x+5y}=\frac{4}{3}\]. Arrange them in sequential order from the first to the last.

(1) \[9x+12y=8x+20y\]

(2) Given, \[\frac{3x+4y}{2x+5y}=\frac{4}{3}\]

(3) \[\frac{x}{y}=8\Rightarrow x:y=8:1\]

(4) \[3(3x+4y)=4(2x+5y)\]

(5) \[x=8y\]

A)  (2)-(4)-(1)-(5)-(3)

B)  (2)-(4)-(3)-(5)-(1)

C)  (2)-(1)-(4)-(5)-(3)

D)  (2)-(1)-(4)-(3)-(5)