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2021 Math Kangaroo

Problem 23

Problem 23 · 2021 Math Kangaroo Stretch
Arithmetic & Operations careful-counting

Kangie eats only apples on Monday, Wednesday and Friday. On Tuesdays and Thursdays he eats only mangoes. He eats either 2 apples or 3 mangoes a day. On Saturdays and Sundays he eats nothing. How many pieces of fruit does Kangie eat in two weeks?

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Answer: E — 24
Show hints
Hint 1 of 3
Work out just ONE week first, then you can double it for two weeks.
Still stuck? Show hint 2 →
Hint 2 of 3
There are three apple-days and two mango-days each week, and nothing on weekends.
Still stuck? Show hint 3 →
Hint 3 of 3
On an apple-day he eats 2 apples; on a mango-day he eats 3 mangoes.
Show solution
Approach: count one week then double
  1. Apple days (Mon, Wed, Fri): 3 days × 2 apples = 6 apples.
  2. Mango days (Tue, Thu): 2 days × 3 mangoes = 6 mangoes.
  3. That is 12 pieces a week, so two weeks give 12 × 2 = 24, option E.
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