Eve spends 2/5 of her money on a book, and then 1/3 of what is left on lunch. She has £12 left. How much money did she start with?
Answer and explanation
Correct answer: B. £30
- Step 1: After the book she has 3/5. Step 2. Lunch costs 1/3 of 3/5, which is 1/5, so she has 3/5 - 1/5 = 2/5 left. Step 3. 2/5 of the money is £12, so all of it is £30. Answer: £30. Why not the others: £20: This treats £12 as what was left after the book only. £45: This takes the lunch as 1/3 of the original money. £18: This uses only the fraction left after lunch, 2/3.
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