Boys stay at 1u while 3 girls leave. After the transfer, Boys(1u) : Girls(2u−3) = 3:5. Cross-multiply to find u.
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• Before: Boys = 1u, Girls = 2u
• After: Boys = 1u, Girls = 2u − 3
• New ratio → 1u : (2u − 3) = 3 : 5
• Cross-multiply → 5 × 1u = 3(2u − 3)
• 5u = 6u − 9 → u = 9; Boys = 9
There were 9 boys in the class.
Check: Girls at first = 18, after 3 leave = 15; ratio 9:15 = 3:5. ✓