Let's solve this step by step using the image-based math puzzle. We have symbols representing:
- A
witch (green creature with a broom)
- A
pumpkin
- A
bat (grouped in pairs)
We need to find the value of each symbol and then compute the final expression.
---
Step 1: First equation
```
Witch + Witch + Witch = 30
```
So:
$$
3 \times \text{Witch} = 30 \Rightarrow \text{Witch} = 10
$$
✔ Witch = 10
---
Step 2: Second equation
```
Witch + Pumpkin + Pumpkin = 20
```
We know Witch = 10, so:
$$
10 + 2 \times \text{Pumpkin} = 20
\Rightarrow 2 \times \text{Pumpkin} = 10
\Rightarrow \text{Pumpkin} = 5
$$
✔ Pumpkin = 5
---
Step 3: Third equation
```
Pumpkin + Bats + Bats = 9
```
We know Pumpkin = 5, so:
$$
5 + 2 \times \text{Bats} = 9
\Rightarrow 2 \times \text{Bats} = 4
\Rightarrow \text{Bats} = 2
$$
Wait — here, "Bats" is shown as
two bats together. So the symbol "Bats" represents
a pair of bats, which equals 2.
So:
✔ Two bats = 2 → Therefore,
One bat = 1
But we must be careful: In the equation, it's two groups of two bats? Let’s look again.
Actually, the third equation shows:
```
Pumpkin + [two bats] + [two bats] = 9
```
So it's:
$$
5 + 2 + 2 = 9
$$
Yes, that works.
So:
✔ Two bats = 2 → So
each group of two bats = 2
Therefore,
one bat = 1, but when used as a symbol, if a single bat appears, its value is 1.
But let's check the final equation.
---
Step 4: Final equation
```
Pumpkin + Bat × Witch = ?
```
Now, from above:
- Pumpkin = 5
- Bat = ? → But in previous equations, "bat" was shown as
two bats = 2 → so
one bat = 1
- Witch = 10
So:
$$
5 + (1 \times 10) = 5 + 10 = 15
$$
But wait!
Order of operations matters: multiplication before addition.
So:
$$
\text{Pumpkin} + (\text{Bat} \times \text{Witch}) = 5 + (1 \times 10) = 5 + 10 = 15
$$
✔ Answer:
15
---
Final Answer:
$$
\boxed{15}
$$
---
Summary:
- Witch = 10
- Pumpkin = 5
- Two bats = 2 → One bat = 1
- Final: $ 5 + (1 \times 10) = 15 $
✔ Answer: 15
Parent Tip: Review the logic above to help your child master the concept of halloween math puzzles.