Let's solve this step by step using algebraic reasoning. We'll assign variables to each of the icons:
- Let
F = red fish
- Let
J = two jelly beans (green and purple)
- Let
S = skewer (with colored beads)
- Let
W = watermelon slice
We are given a series of equations:
---
Equation 1:
$$
F + J + F = S
\Rightarrow 2F + J = S \quad \text{(1)}
$$
---
Equation 2:
$$
26 - S = W \quad \text{(2)}
$$
---
Equation 3:
$$
W + W = 2 \Rightarrow 2W = 2 \Rightarrow W = 1 \quad \text{(3)}
$$
Now plug $ W = 1 $ into Equation (2):
$$
26 - S = 1 \Rightarrow S = 25 \quad \text{(4)}
$$
So the skewer $ S = 25 $
---
Now use Equation (1):
$$
2F + J = S = 25 \Rightarrow 2F + J = 25 \quad \text{(5)}
$$
---
Equation 4:
$$
F + F = W + 9 \Rightarrow 2F = 1 + 9 = 10 \Rightarrow F = 5 \quad \text{(6)}
$$
Now that we know $ F = 5 $, plug into Equation (5):
$$
2(5) + J = 25 \Rightarrow 10 + J = 25 \Rightarrow J = 15 \quad \text{(7)}
$$
So far:
- $ F = 5 $
- $ J = 15 $
- $ S = 25 $
- $ W = 1 $
---
Final Question:
$$
S - J = ?
$$
$$
25 - 15 = 10
$$
---
✔ Answer: 10
---
Summary:
- Fish (F) = 5
- Jelly beans (J) = 15
- Skewer (S) = 25
- Watermelon (W) = 1
Check all equations:
1. $ 5 + 15 + 5 = 25 $ → ✔️
2. $ 26 - 25 = 1 $ → ✔️
3. $ 1 + 1 = 2 $ → ✔️
4. $ 5 + 5 = 1 + 9 = 10 $ → ✔️
5. $ 25 - 15 = 10 $ → ✔️
✔ All consistent.
---
🟩 Final Answer: 10
Parent Tip: Review the logic above to help your child master the concept of difficult math puzzles worksheet.
