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].
