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Coffee is sold in 250-gram packs and costs £4.20 per pack. Tea is sold in 450-gram packs and costs £3.80 per pack. Helen runs a cafe and buys the same number of grams of coffee and tea. What is the least amount of money she could have spent?

Answer :

Final answer:

Helen would spend the least amount of money, £25.2, when she buys 1000 grams of both coffee and tea.

Explanation:

Helen wants to buy equal amounts of coffee and tea. Given that coffee is sold at £4.20 for 250 grams and tea is sold at £3.80 for 450 grams, we need first to find the cost per gram. Divide the cost by the amount, so for coffee it's £4.20/250 = £0.0168 per gram and for tea it's £3.80/450 = £0.0084 per gram.

Since Helen buys the same quantity of coffee and tea, we can represent this as a multiplication factor of the cost per gram. If she buys one kilogram (1000 grams), she would spend £0.0168 * 1000 = £16.8 on coffee and £0.0084 * 1000 = £8.4 on tea. So, the least amount Helen would have spent is the sum of the cost which is £16.8 + £8.4 = £25.2.

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