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2015 Math Kangaroo

Problem 9

Problem 9 · 2015 Math Kangaroo Medium
Algebra & Patterns work-backward

Luis has got 7 apples and 2 bananas. He gives 2 apples to his friend Jacob, who gives him bananas in return. Afterwards Luis has got the same amount of apples as bananas. How many bananas did Luis get from Jacob?

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Answer: B — 3
Show hints
Hint 1 of 2
First update the apple count after Luis gives 2 away.
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Hint 2 of 2
Set the new banana count equal to the apple count and read off how many bananas he received.
Show solution
Approach: track apples and bananas, then make them equal
  1. Luis gives away 2 of his 7 apples, leaving 5 apples.
  2. Afterwards he has as many bananas as apples, so he must have 5 bananas.
  3. He started with 2 bananas, so he received 5 − 2 = 3 bananas from Jacob.
  4. The answer is 3.
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