Chapter 8, Problem 26RP

To determine

To calculate:The ratio of x and y if $\frac{7}{x+4y}=\frac{9}{2x-y}$

Answer to Problem 26RP

The ratio of x and yis 43 : 5

Explanation of Solution

Given information:

  $\frac{7}{x+4y}=\frac{9}{2x-y}$

Formula used:

Simplify and relate x and y

Calculation:

  $\begin{array}{l}\frac{7}{x+4y}=\frac{9}{2x-y}\\ \Rightarrow 7\left(2x-y\right)=9\left(x+4y\right)\\ \Rightarrow 14x-9x=36y+7y\\ \Rightarrow 5x=43y\\ \Rightarrow \frac{x}{y}=\frac{43}{5}\end{array}$

Required ratio = 43: 5