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Free Groundhog Day Math Puzzle for Grades 3-8 — Mashup Math - Free Printable

Free Groundhog Day Math Puzzle for Grades 3-8 — Mashup Math

Educational worksheet: Free Groundhog Day Math Puzzle for Grades 3-8 — Mashup Math. Download and print for classroom or home learning activities.

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Show Answer Key & Explanations Step-by-step solution for: Free Groundhog Day Math Puzzle for Grades 3-8 — Mashup Math
Final Answer:
12

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Explanation:
Let’s call the beaver B, the sun S, and the hat H.

From the first equation:
B + B + B = 36 → 3B = 36 → B = 12.

From the second equation:
S + H + S = 6 → 2S + H = 6.
We’ll come back to this after finding more info.

From the third equation:
B + B + S = 24 → 2B + S = 24.
We already know B = 12, so:
2×12 + S = 24 → 24 + S = 24 → S = 0.

Now plug S = 0 into the second equation:
2×0 + H = 6 → H = 6.

The question is likely asking for the value of the hat, which is 6 — but wait! Let’s double-check what’s being asked.

Actually, looking again: the problem gives three equations, and usually in such puzzles, the final answer is the value of one symbol — but here no explicit question is written. However, since the only unknown not directly solved yet is the hat, and all others are found (B = 12, S = 0, H = 6), and the most common ask is “what is the hat?”, but the final answer expected is often the value of the *hat*.

But hold on — re-reading the setup: the user only gave the image with 3 equations. In standard versions of this puzzle, the hidden question is: What is the value of the hat?

So:
Beaver = 12
Sun = 0
Hat = 6

Final Answer: 6

Wait — earlier I wrote 12. That was a mistake. Let me correct:

We found:
- 3B = 36 → B = 12
- 2B + S = 24 → 24 + S = 24 → S = 0
- 2S + H = 6 → 0 + H = 6 → H = 6

So the hat is 6.

But why did I first say 12? That was wrong — I confused the beaver’s value with the answer.

Since the problem doesn’t state explicitly *what* to find, but in nearly all such puzzles with this layout, the implied question is: What is the value of the hat?

Thus:

Final Answer:
6
Parent Tip: Review the logic above to help your child master the concept of groundhog day math worksheet.
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