Use the top-level ratio 8:5 to find how many smoothies and milkshakes there are, then break each group down using sub-ratios.
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• Top-level ratio 8:5 means 13 units in total.
• 130 ÷ 13 = 10 per unit.
• Smoothies: 8 × 10 = 80
• Milkshakes: 5 × 10 = 50
For the smoothies (sub-ratio 5 + 3):
• 8 parts = 10 per part
• fruit-based: 5 × 10 = 50
• vegetable-based: 3 × 10 = 30
For the milkshakes (sub-ratio 3 + 2):
• 5 parts = 10 per part
• chocolate: 3 × 10 = 30
• vanilla: 2 × 10 = 20
Total fruit-based: 50.
Check: 80 + 50 = 130 = total (130). ✓
Final Answer: 50