Use the top-level ratio 7:5 to find how many Spanish and French learners there are, then break each group down using sub-ratios.
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• Top-level ratio 7:5 means 12 units in total.
• 84 ÷ 12 = 7 per unit.
• Spanish learners: 7 × 7 = 49
• French learners: 5 × 7 = 35
For the Spanish learners (B:I:A = 4:2:1, total 7 parts):
• 49 ÷ 7 = 7 per part
• Beginners: 4 × 7 = 28
• Intermediate: 2 × 7 = 14
• Advanced: 1 × 7 = 7
For the French learners (B:I:A = 3:1:1, total 5 parts):
• 35 ÷ 5 = 7 per part
• Beginners: 3 × 7 = 21
• Intermediate: 1 × 7 = 7
• Advanced: 1 × 7 = 7
Total Intermediate level = 14 + 7 = 21 learners.
Check: 49 + 35 = 84 = total (84). ✓
Final Answer: 21