Chapter 6.1, Problem 4C

To determine

To calculate : The equivalent rate of the given ratio.

Answer to Problem 4C

The equivalent rate of $\frac{\text{3 lb}}{\$1}$ is $\frac{\text{48 oz}}{\$1}$ .

Explanation of Solution

Given information :

Consider the rate given in the question:

  $\frac{\text{3 lb}}{\$1}$

It is to be converted to $\text{ounces per dollar}\text{.}$

Calculation :

As per the given problem,

Consider the rate:

  $\frac{\text{3 lb}}{\$1}$

To convert pounds into ounces, multiply the rate by a conversion factor.

  $1\text{ pound(lb) is equal to 16 Ounces(oz)}$ , so $\frac{\text{16 oz}}{1\text{ lb}}=1.$

  $\begin{array}{l}\frac{\text{3 lb}}{\$1}=\frac{\text{3 lb}}{\$1}\cdot \frac{\text{16 oz}}{1\text{ lb}}\left[\text{Multiply rate by conversion factor}\text{.}\right]\\ =\frac{\text{48 oz}}{\$1}\left[\text{Divide out common unit and simplify}\text{.}\right]\end{array}$

Therefore,

  $\frac{\text{3 lb}}{\$1}=\frac{\text{48 oz}}{\$1}$

Hence,

The equivalent rate of $\frac{\text{3 lb}}{\$1}$ is $\frac{\text{48 oz}}{\$1}$ .