College freshmen were asked if they were currently enrolled in Composition I. The results are shown in the table.

\begin{tabular}{|c|l|l|l|}
\hline & Enrolled in Composition I & Not enrolled in Composition I & Row Totals \\
\hline Males & 89 & 35 & 124 \\
\hline Females & 81 & 46 & 127 \\
\hline Column Totals & 170 & 81 & 251 \\
\hline
\end{tabular}

How many males are currently not enrolled in Composition I?

A. 35

B. 46

C. 89

D. 124



Answer :

To determine the number of males not enrolled in Composition I, we can follow this detailed step-by-step approach:

1. Identify the given data:
- The number of males currently enrolled in Composition I is 89.
- The number of females not enrolled in Composition I is 46.
- The total number of students enrolled in Composition I is 170.
- The total number of students is 251.
- The total number of females is 127.

2. Find the number of females enrolled in Composition I:
- Calculate the number of females enrolled by subtracting the number of females not enrolled from the total number of females.
[tex]\[ 127 \text{ (total females)} - 46 \text{ (not enrolled)} = 81 \text{ (females enrolled)} \][/tex]

3. Confirm the total number of students enrolled in Composition I:
- The sum of enrolled males and females should equal the total number of students enrolled in Composition I.
[tex]\[ 89 \text{ (males)} + 81 \text{ (females)} = 170 \][/tex]
- This matches the given total, so everything checks out.

4. Determine the number of males not enrolled in Composition I:
- First, calculate the total number of students not enrolled in Composition I:
[tex]\[ 251 \text{ (total students)} - 170 \text{ (enrolled students)} = 81 \text{ (not enrolled)} \][/tex]
- We know 46 of these are females. Subtract the number of females not enrolled from the total number of students not enrolled to find the number of males not enrolled:
[tex]\[ 81 \text{ (total not enrolled)} - 46 \text{ (females not enrolled)} = 35 \text{ (males not enrolled)} \][/tex]

Thus, the number of males not currently enrolled in Composition I is [tex]\(\boxed{35}\)[/tex].