A shop mixes 400 g of nuts costing £1.20 per 100 g with 600 g of raisins costing £0.70 per 100 g. What is the cost of the mixture per 100 g?

Answer and explanation

Correct answer: A. £0.90

  1. Step 1: Nuts: 4 × £1.20 = £4.80. Raisins: 6 × £0.70 = £4.20. Step 2. Total: £9.00 for 1,000 g. Step 3. Per 100 g: £9.00 ÷ 10 = £0.90. Answer: £0.90. Why not the others: £0.95: This is the mean of the two prices, which ignores the different amounts. £9.00: This is the total cost of the mixture, not the cost per 100 g. £1.00: This swaps the amounts, using 600 g of nuts and 400 g of raisins.

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