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2020 Math Kangaroo

Problem 17

Problem 17 · 2020 Math Kangaroo Hard
Logic & Word Problems sum-constraint

There are three flowers on the back of the left cactus. In total, the cactus on the right has six more flowers than the cactus on the left. How many flowers are on the back of the right cactus?

Figure for Math Kangaroo 2020 Problem 17
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Answer: D — 12
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Hint 1 of 2
Each cactus's total = the flowers you can see on its front + the flowers on its back; the left back is 3.
Still stuck? Show hint 2 →
Hint 2 of 2
Find the left cactus's total, add 6 for the right cactus, then subtract the right cactus's visible front.
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Approach: total each cactus, then subtract the visible front
  1. The left cactus shows 5 flowers on its front plus 3 on its back, so its total is 8.
  2. The right cactus has 6 more in total, that is 14, and it shows 2 flowers on its front, so its back has 14 − 2 = 12 flowers.
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