Chapter 8.1, Problem 19PSB

To determine

To calculate: The ratio of x and yin the given expression.

Answer to Problem 19PSB

The ratio is $\left(c+d\right):\left(a+b\right)$

Explanation of Solution

Given information:

  $x\left(a+b\right)=y\left(c+d\right)$

Formula used:

  $\frac{p}{q}=p:q$

Calculation:

  $\begin{array}{l}x\left(a+b\right)=y\left(c+d\right)\\ \Rightarrow \frac{x}{y}=\frac{\left(c+d\right)}{\left(a+b\right)}\\ \Rightarrow x:y=\left(c+d\right):\left(a+b\right)\end{array}$