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2023 Math Kangaroo

Problem 14

Problem 14 · 2023 Math Kangaroo Stretch
Arithmetic & Operations work-backwarddivision

Maria has a total of 19 apples in 3 bags. She takes the same amount of apples from each bag. Then there are 3, 4 and 6 apples in the bags. How many apples did Maria take from each bag?

Figure for Math Kangaroo 2023 Problem 14
Show answer
Answer: B — 2
Show hints
Hint 1 of 3
First add up how many apples are still left in all three bags.
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Hint 2 of 3
Maria started with 19, so the apples she took are the 19 minus the ones still left.
Still stuck? Show hint 3 →
Hint 3 of 3
She took the same number from each bag, so share the taken apples equally among 3 bags.
Show solution
Approach: find how many were taken in all, then share among 3 bags
  1. Count the apples still in the bags: 3 and 4 and 6 make 13.
  2. Maria began with 19, so the apples she took away are 19 take away 13, which is 6.
  3. She took the same from each of the 3 bags, so share 6 into 3 equal groups: 2 from each bag, option B.
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