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2016 Math Kangaroo

Problem 14

Problem 14 · 2016 Math Kangaroo Medium
Ratios, Rates & Proportions proportion

Konrad dries mushrooms. From 4 kg of fresh mushrooms he gets 1 kg of dried mushrooms. How many kilograms of mushrooms does he have to pick in order to receive 4 kg of dried mushrooms?

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Answer: B — 16 kg
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Hint 1 of 2
Every 4 kg of fresh mushrooms shrinks to 1 kg dried.
Still stuck? Show hint 2 →
Hint 2 of 2
To get 4 kg dried, scale that 4-to-1 relationship up four times.
Show solution
Approach: scale the fresh-to-dried ratio
  1. 4 kg fresh gives 1 kg dried.
  2. For 4 kg dried, he needs 4 times as much fresh: 4 × 4 kg = 16 kg.
  3. So he must pick 16 kg.
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