Standard Mathematics Primary 6 Ratio

3/8 of the students in a class are boys. There are 12 more girls than boys. How many students are there altogether?

A 32
B 40
C 48
D 24
Show Worked Solution

Worked Solution

Step 1: Boys = 3/8 of total. Girls = 1 − 3/8 = 5/8 of total. Step 2: Girls − Boys = 5/8 − 3/8 = 2/8 = 1/4 of the total. Step 3: 1/4 of total = 12, so total = 12 × 4 = 48. Check: Boys = 3/8 × 48 = 18. Girls = 5/8 × 48 = 30. 30 − 18 = 12. ✓ Answer: 48 students altogether. Answer: 48

Correct answer: 48

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