a math professor is teachin two classes. The first class has 100 student enrolled and the second class has 75 estudent enrolled if 3/4 estudent of the first class pass and 2/5 student of the second class pass. how many estydent pass in total

what is

(3/4)(100) + (2/5)(75) ?

To find the total number of students who pass, we need to determine the number of students that pass in each class and then add those numbers together.

First, let's calculate the number of students who pass in the first class. We know that 3/4 of the students in the first class pass, and there are 100 students in total.

Number of students who pass in the first class = 3/4 * 100
= 0.75 * 100
= 75 students

Using this same approach, let's now calculate the number of students who pass in the second class. We know that 2/5 of the students in the second class pass, and there are 75 students in total.

Number of students who pass in the second class = 2/5 * 75
= 0.4 * 75
= 30 students

Finally, we add the number of students who pass in each class to get the total number of students who pass:

Total students who pass = Number of students who pass in the first class + Number of students who pass in the second class
= 75 students + 30 students
= 105 students

Therefore, the total number of students who pass is 105.