Question

The total number of students in sections A and B of grade 6 is 100 and 90, respectively. Maths is enjoyed by 70 students in section A and 65 students in section B. Which section has a higher proportion of students who enjoy maths in relation to the strength of the class?

• A. Section A
• B. Section B
• C. Cannot be determined.
• D. Both sections have same proportion of students who like maths.

Answer 1

The correct option is B Section B

There are 70 students in Section A who enjoy maths.
Total number of students in section A
= 100
Fraction of students who like maths in section A = $\frac{70}{100}$
Converting $\frac{70}{100}$ into decimal by long division,

we get the quotient $0.7$

Similarly, for section B, 65 out of 90 students like maths.
Fraction of student who like maths in section A = $\frac{65}{90}$
Converting $\frac{65}{90}$ into decimal by long division,we get the quotient 0.7222.. It is a non-terminating and repeating decimal number. It is written as $0.7\overline{2}$.

As $0.7\overline{2}$ is greater than $0.7$, we can infer that section B has higher proportion of students who like maths.