100 students were asked whether they are taking psychology or biology. 61 were taking pyschology, 18 were taking both and 12 were taking neither. how many were taking biology?
Make a Venn diagram with two intersecting circles
label "only biology" as x
place 18 in the intersection
place 43 in the "only psychology"
place 12 outside the two circles
x + 18 + 43 + 12 = 100
x = 27
So Biology was taken by 27+18 or 45 students
Would pls complete the ans
How many were taking psychology but not biology?
To find out how many students were taking biology, we need to subtract the number of students taking psychology from the total number of students.
Let's break down the given information:
- Total students = 100
- Students taking psychology = 61
- Students taking both psychology and biology = 18
- Students taking neither psychology nor biology = 12
To calculate the number of students taking biology, we can follow these steps:
1. Subtract the number of students taking both psychology and biology from the total number of students taking psychology. This will give us the number of students taking psychology only.
Students taking psychology only = Students taking psychology - Students taking both psychology and biology
Students taking psychology only = 61 - 18
Students taking psychology only = 43
2. Subtract the number of students taking neither psychology nor biology from the total number of students to find the number of students taking biology.
Students taking biology = Total students - Students taking neither psychology nor biology
Students taking biology = 100 - 12
Students taking biology = 88
Therefore, 88 students were taking biology.