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2017 Math Kangaroo

Problem 9

Problem 9 · 2017 Math Kangaroo Easy
Arithmetic & Operations total-then-divide

Yvonne has 20 €, and each of her four sisters has 10 €. How much does Yvonne have to give to each of her sisters so that all of them have the same amount of money?

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Answer: A — 2
Show hints
Hint 1 of 2
First find how much each person should have once the money is shared equally.
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Hint 2 of 2
Then see how much Yvonne must hand to each sister to reach that level.
Show solution
Approach: equalise the total
  1. Total money = 20 + 4×10 = 60 €, shared among 5 people = 12 € each.
  2. Yvonne must drop from 20 to 12, giving away 8 € over 4 sisters.
  3. That is 8 ÷ 4 = 2 € to each sister.
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