Problem 27 · 2018 Math Kangaroo
Stretch
Fractions, Decimals & Percents
percent-multiplier
Anna, Bettina and Claudia go shopping. Bettina spends 85% less than Claudia. Anna spends 60% more than Claudia. Together they spend 55 €. How much money does Anna spend?
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Answer: E — 32 €
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Hint 1 of 2
Write everyone's spending as a multiple of Claudia's amount.
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Hint 2 of 2
Add those multiples, set the total to 55 €, then find Anna's share.
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Approach: express all spendings via Claudia and total
- Bettina spends 0.15 of Claudia's amount and Anna spends 1.6 of it.
- Together: Claudia · (1 + 0.15 + 1.6) = 2.75 · Claudia = 55 €, so Claudia spends 20 €.
- Anna spends 1.6 · 20 = 32 €.
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