Question

Write the equivalent rate.

$\frac{3lb}{\mathrm{\backslash (}1}=\frac{?oz}{\mathrm{\backslash )}1}$

Short answer

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

Step-by-step solution

. Given

The given rate is$\frac{\text{3lb}}{\$1}$ .

. To determine

We have to convert the given ratio from lb per $ to oz per $ form.

. Calculation

In order to convert a pound into ounces, we will have to multiply the rate by a conversion factor.

We know that 1 pound(lb) = 16 ounces(oz). That means$\frac{\text{16oz}}{1\text{lb}}=1.$

$\begin{array}{c}\frac{\text{3lb}}{\$1}=\frac{\text{3lb}}{\$1}\cdot \frac{\text{16oz}}{1\text{lb}}\left[\text{Multiplyratebyconversionfactor.}\right]\\ =\frac{\text{48oz}}{\$1}\left[\text{Divideoutcommonunitandsimplify.}\right]\end{array}$

Hence,

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

So, the required equivalent rate of $\frac{\text{3lb}}{\$1}$ is$\frac{\text{48oz}}{\$1}$ .