In a sports club, the ratio of boys to girls is 2 : 3. After 12 more boys join the club, the number of boys becomes equal to the number of girls. How many students were in the club at first?
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Worked Solution
Step 1: Let boys = 2u and girls = 3u.\n\n
Step 2: After 12 boys join, boys = girls:\n 2u + 12 = 3u\n 3u − 2u = 12\n u = 12\n\n
Step 3: Original boys = 2 × 12 = 24\n Original girls = 3 × 12 = 36\n\n
Step 4: Total students at first = 24 + 36 = 60\n\nVerification: After 12 boys join, boys = 24 + 12 = 36 = girls ✓
Answer: 60
Correct answer: 60
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