Answer
The density of the newly minted penny is $7.17g/cm^{3}$.
Work Step by Step
First of all, we assume that the mass of one newly minted penny is 1 gram because there is no mass or volume of the new penny provided.
Given that the new penny contains 2.7% cooper, which means the penny is made up of 0.027 grams of cooper.
As a result, the rest of the penny contains 0.973 grams of zinc.
Next, we need to figure out the volume of this 1 gram penny.
Given that $Density=\frac{Mass}{Volume}$.
Therefore, $Volume=\frac{Mass}{Density}$.
Provided that the densities of cooper and zinc are $8.72g/cm^{3}$ and $7.14g/cm^{3}$.
Apply two mass and densities of two metal into the formula, we get
$Volume(cooper)=\frac{0.027}{8.72}\approx0.0031 cm^{3}$,
$Volume(zinc)=\frac{0.973}{7.14}\approx0.1363 cm^{3}$.
Therefore, the total volume of the penny is 0.1394 $cm^{3}$.
Here we come to the last step: calculate the density of the newly minted penny since we now have both the mass and the volume of one penny.
$Density(new) =\frac{Mass}{Volume}=\frac{1}{0.1394}\approx7.17 g/cm^{3}$.
Therefore, the density of newly minted penny is $7.17g/cm^{3}$.
