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2017 Math Kangaroo

Problem 4

Problem 4 · 2017 Math Kangaroo Medium
Arithmetic & Operations total-then-divide

Maria has 24 Euros. Each of her 3 sisters has 12 Euros. How much does she have to give to each sister so that all four of them have the same amount of Euros?

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Answer: C — 3
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Hint 1 of 2
First find what amount everyone should end up with.
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Hint 2 of 2
Maria's gift is split equally among the three sisters.
Show solution
Approach: equalise the total, then see how much each sister needs
  1. Total money = 24 + 3 × 12 = 60 Euros, so each of the four should have 60 ÷ 4 = 15.
  2. Maria must drop from 24 to 15, giving away 9 Euros in all.
  3. Shared equally among 3 sisters, that is 9 ÷ 3 = 3 each, choice C.
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