Let’s solve this step by step.
We have symbols:
- A pie with a star (let’s call it
Pie)
- The pi symbol (
π)
- A whole pizza (
Pizza)
- A slice of pizza (
Slice)
We are given these equations:
1. Pie + π = 8
2. Pie - π = 4
3. Pizza + Slice = 12
4. Pizza - Slice = Slice
5. Slice + Slice = Pizza
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First, let’s solve for
Pie and
π using equations 1 and 2.
Equation 1: Pie + π = 8
Equation 2: Pie - π = 4
If we add these two equations together:
(Pie + π) + (Pie - π) = 8 + 4
→ Pie + Pie + π - π = 12
→ 2 × Pie = 12
→ Pie = 6
Now plug Pie = 6 into Equation 1:
6 + π = 8
→ π = 8 - 6 = 2
So far:
- Pie = 6
- π = 2
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Now let’s look at the pizza equations.
Equation 5: Slice + Slice = Pizza → That means 2 × Slice = Pizza
Equation 3: Pizza + Slice = 12
But since Pizza = 2 × Slice, substitute that in:
(2 × Slice) + Slice = 12
→ 3 × Slice = 12
→ Slice = 4
Then Pizza = 2 × Slice = 2 × 4 = 8
Check with Equation 4: Pizza - Slice = Slice
→ 8 - 4 = 4 → which equals Slice → Correct!
So now we have all values:
- Pizza = 8
- Pie = 6
- Slice = 4
- π = 2
Final Answer:
Pizza = 8, Pie = 6, Slice = 4, π = 2
Parent Tip: Review the logic above to help your child master the concept of pi day worksheet for middle school.