\begin{tabular}{|c|c|c|c|}
\hline Sample & \begin{tabular}{c}
Number of \\
Pennies
\end{tabular} & \begin{tabular}{c}
Abundance \\
[tex]$(\%)$[/tex]
\end{tabular} & \begin{tabular}{c}
Average \\
Mass [tex]$(g)$[/tex]
\end{tabular} \\
\hline Pre-1982 & 8 & 40 & 3.1 \\
\hline Post-1982 & 12 & 60 & 2.5 \\
\hline Total & 20 & 100 & [tex]$\times$[/tex] \\
\hline
\end{tabular}

How much mass do the post-1982 pennies contribute to the weighted average mass?



Answer :

To determine the mass contribution of post-1982 pennies to the weighted average mass, we need to perform the following steps:

1. Identify the number of post-1982 pennies, which is given as 12.
2. Determine the average mass of a post-1982 penny, which is 2.5 grams.
3. Calculate the total mass contributed by the post-1982 pennies by multiplying the number of pennies by their average mass.

So, the total mass of the post-1982 pennies can be calculated as follows:

[tex]\[ \text{Total mass of post-1982 pennies} = \text{Number of post-1982 pennies} \times \text{Average mass of a post-1982 penny} \][/tex]

[tex]\[ \text{Total mass of post-1982 pennies} = 12 \times 2.5 \][/tex]

[tex]\[ \text{Total mass of post-1982 pennies} = 30.0 \text{ grams} \][/tex]

Thus, the post-1982 pennies contribute 30.0 grams to the weighted average mass.