400g of raspberries and 300g strawberries cost a total of £7.46, 500g of strawberries cost £4.10, work out the total cost of 200g of raspberries and 200g of strawberries

Question

500g of strawberries cost £4.10, 400g raspberries and 300g strawberries cost £7.46, what would 200g it raspberries and 200g of strawberries cost?

Answer 1

Since 500g of strawberries cost £4.10, 300g cost ⅗ of £4.10=£2.46. Now we can work out the cost of 400g of raspberries=7.46-2.46=£5. So 200g cost £2.50, half as much. 200g of strawberries cost ⅔ of £2.46 or ⅖ of £4.10=£1.64. So total cost=1.64+2.50=£4.14.