A bowl contains two different types of nuts, peanuts and almonds. What is the "percent abundance" of the peanuts?

[tex]\[
\begin{tabular}{|l|c|c|c|}
\hline
Sample & \begin{tabular}{c} Number of \\ nuts \end{tabular} & \begin{tabular}{c} Abundance \\ (\%) \end{tabular} & Mass (g) \\
\hline
Peanut & 65 & {$[?]$} & 1.1 \\
\hline
Almond & 45 & & 1.5 \\
\hline
\end{tabular}
\][/tex]



Answer :

Absolutely, let's go through the steps to calculate the percent abundance of peanuts in the bowl.

1. First, find the total number of nuts in the bowl.
- You have 65 peanuts and 45 almonds.
- To find the total number of nuts, simply add the number of peanuts and almonds together:

[tex]\[ \text{Total number of nuts} = \text{Number of peanuts} + \text{Number of almonds} \][/tex]
[tex]\[ \text{Total number of nuts} = 65 + 45 = 110 \][/tex]

2. Next, calculate the percent abundance of peanuts.
- Percent abundance is the ratio of the number of peanuts to the total number of nuts, multiplied by 100 to get a percentage.
- The formula for percent abundance is:

[tex]\[ \text{Percent abundance of peanuts} = \left(\frac{\text{Number of peanuts}}{\text{Total number of nuts}}\right) \times 100 \][/tex]

3. Substitute the values into the formula and carry out the calculation:

[tex]\[ \text{Percent abundance of peanuts} = \left(\frac{65}{110}\right) \times 100 \][/tex]
[tex]\[ \text{Percent abundance of peanuts} = 0.59090909090909 \times 100 \][/tex]
[tex]\[ \text{Percent abundance of peanuts} \approx 59.09\% \][/tex]

Therefore, the percent abundance of peanuts in the bowl is approximately 59.09%.