This is a Thanksgiving-themed math puzzle where we need to find the value of each symbol in a multiplication table. The grid works like a standard multiplication table: the value of any cell is the product of the symbol on its row and the symbol on its column.
Let's solve this step by step.
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Step 1: Identify the symbols and their positions
The table has 3 rows and 3 columns. The row headers are on the left, and the column headers are on the top.
Column Headers (from left to right):
- Pilgrim Hat
- Number 3
- Cornucopia
Row Headers (from top to bottom):
- Bowl of food
- Number 2
- Ear of corn
Grid Cells:
- Row 1 (Bowl) / Col 1 (Hat): Pilgrim Hat
- Row 1 (Bowl) / Col 2 (3): Pie
- Row 1 (Bowl) / Col 3 (Cornucopia): Number 4
- Row 2 (2) / Col 1 (Hat): Number 16
- Row 2 (2) / Col 2 (3): Turkey
- Row 2 (2) / Col 3 (Cornucopia): Pilgrim Hat
- Row 3 (Corn) / Col 1 (Hat): Number 40
- Row 3 (Corn) / Col 2 (3): Pumpkin
- Row 3 (Corn) / Col 3 (Cornucopia): Number 20
We need to find the values for:
- Pumpkin
- Corn
- Pie
- Bowl
- Hat
- Cornucopia
- Turkey
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Step 2: Solve for known values using multiplication
Let’s denote each symbol with a variable for clarity:
- Let `H` = Pilgrim Hat
- Let `C` = Cornucopia
- Let `B` = Bowl
- Let `P` = Pie
- Let `T` = Turkey
- Let `K` = Ear of Corn
- Let `N` = Pumpkin
From the grid, we have these equations:
1. `B * H = H` → This implies `B = 1` (since H ≠ 0, as other products involving H are non-zero)
2. `B * 3 = P` → Since B=1, then `P = 3`
3. `B * C = 4` → Since B=1, then `C = 4`
4. `2 * H = 16` → So `H = 8`
5. `2 * 3 = T` → So `T = 6`
6. `2 * C = H` → Check: 2*4 = 8, which matches H=8
✔
7. `K * H = 40` → K * 8 = 40 → `K = 5`
8. `K * 3 = N` → 5 * 3 = 15 → `N = 15`
9. `K * C = 20` → 5 * 4 = 20
✔
All equations are consistent!
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Step 3: Final Answer
Now, let’s list the values for each symbol as requested at the bottom of the image (in order from left to right):
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Pumpkin (N) = 15
-
Corn (K) = 5
-
Pie (P) = 3
-
Bowl (B) = 1
-
Hat (H) = 8
-
Cornucopia (C) = 4
-
Turkey (T) = 6
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✔ Final Answer:
15, 5, 3, 1, 8, 4, 6
Parent Tip: Review the logic above to help your child master the concept of thanksgiving math.