Question

In a class of 50 students 37 passed math and 48 passed science and 5 failed both subjects. How many students passed both subjects?

Answer 1

The number of students that passed both subjects=45

Explanation:

Step 1

Determine total number of students that passed both subjects using the expression below;

p=n-f

where;

p=number that passed both

n=total number of students

f=total number that failed both subjects

In our case;

p=unknown

n=50 students

f=5

The expression can also be written as:

number that passed both=total number of students-number that failed both subjects

replacing;

number that passed both=(50-5)=45

The number of students that passed both subjects=45