1. The problem asks: How many students in the survey said that math was their favorite subject?
2. We are given the conditional relative frequencies for males and females who favor math, and the total number of male and female students.
3. The number of male students who favor math is calculated by multiplying the total number of male students by the relative frequency of males who favor math:
$$120 \times 0.35 = 42$$
4. The number of female students who favor math is calculated similarly:
$$180 \times 0.45 = 81$$
5. To find the total number of students who said math was their favorite subject, add the male and female counts:
$$42 + 81 = 123$$
6. Therefore, the total number of students who said math was their favorite subject is 123.
Favorite Subject D0E660
Step-by-step solutions with LaTeX - clean, fast, and student-friendly.