Question

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)

Answer 1

The correct option is A (2)-(4)-(1)-(5)-(3)

Given: $\frac{3x+4y}{2x+5y}=\frac{4}{3}$

On cross multiplying

$⟹3(3x+4y)=4(2x+5y)$

$⟹9x+12y=8x+20y$

Rearranging

$⟹9x-8x=20y-12y$

$⟹x=8y$

So, $⟹\frac{x}{y}=\frac{8}{1}$

$⟹x:y=8:1$

So, sequence will be $\left(2\right)-\left(4\right)-\left(1\right)-\left(5\right)-\left(3\right)$