In a form two class of a school, there were 156 students who took science or mathematics examination. If each student passed at least one subject and twice as many passed science as mathematics and 75 passed in both subjects, find how many passed in mathematics only

x + 2x - 75 = 156

Yes An answere

To find out how many students passed in mathematics only, let's break down the information given.

1. There were 156 students who took science or mathematics examination.
2. Each student passed at least one subject.
3. Science had twice as many students passing compared to mathematics.
4. 75 students passed in both subjects.

First, let's calculate the number of students who passed science. Since science had twice as many students passing compared to mathematics, we can divide the total number of students passing by 3, where 1 part represents mathematics and 2 parts represent science.

Passed in science = (156 - 75) / 3
Passed in science = 81 / 3
Passed in science = 27

Next, we need to find out how many students passed in mathematics only. Since each student passed at least one subject, we can subtract the students who passed in both subjects from the total students who passed in mathematics or science.

Passed in mathematics only = Passed in mathematics or science - Passed in both subjects
Passed in mathematics only = 156 - 75
Passed in mathematics only = 81

Therefore, 81 students passed in mathematics only.