Problem 22 · 2019 Math Kangaroo
Stretch
Algebra & Patterns
work-backward
Leo spends all his money buying 50 bottles of juice for 1 Euro each, then sells them on for a higher price. After selling 40 bottles, each for the same price, he has 10 Euros more than he started with. He then sells the remaining bottles for the same price. How much money does Leo have now?
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Answer: B — 75 Euros
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Hint 1 of 2
First find the selling price from the 'after 40 sold' clue.
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Hint 2 of 2
Then total the income from all 50 bottles he sells.
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Approach: find the price, then total the sales
- Leo spends 50 Euros buying 50 bottles. After selling 40 at price p he holds 40p, which is 10 more than his original 50, so 40p = 60 and p = 1.5 Euros.
- He sells all 50 bottles at 1.5 Euros each.
- Total money now = 50 × 1.5 = 75 Euros.
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