The ratio of students in Class A to Class B is 5:3. If there are 64 students in total, how many students are in Class A, and what fraction of the total students are in Class A?

hard 3 marks Class 5 · Mathematics · Parts and Wholes

Answer

40, 5/8

The correct answer is 40, 5/8 — Express this as a fraction of the total: $\frac{40}{64} = \frac{5}{8}$ .

Step-by-step solution

The ratio 5:3 means for every 8 parts of the class, 5 parts are in Class A and 3 parts in Class B.
Let each part represent $\frac{64}{8} = 8$ students.
Multiply the number of parts for Class A by the part size: $5 \times 8 = 40$ students in Class A.
Express this as a fraction of the total: $\frac{40}{64} = \frac{5}{8}$ .

Common mistake: Not applying the ratio correctly, giving 50 instead of 40

Concept tested: ratio to fraction conversion