Let's solve this fun math puzzle step by step using algebraic reasoning. We are given a series of equations with food icons representing unknown values. Our goal is to find the value of each symbol and then evaluate the final expression:
---
Step 1: Assign variables
Let:
-
H = Hamburger
-
P = Pizza slice
-
I = Ice cream cone
-
D = Donut
We’ll use these to write equations.
---
Given Equations:
1.
H + P = I + 1
2.
D + H + D = P → This simplifies to:
2D + H = P
3.
0 = D × I → This means
D × I = 0
4.
I - 3 = 2 → Solve for
I
5. Find:
H × P + I = ?
---
Step 2: Solve Equation (4) — Find I
From equation (4):
> I - 3 = 2
→ I = 2 + 3 =
5
So,
Ice cream cone (I) = 5
---
Step 3: Use Equation (3): D × I = 0
We know
I = 5, so:
> D × 5 = 0
→ D = 0
So,
Donut (D) = 0
---
Step 4: Use Equation (2): 2D + H = P
We know D = 0:
> 2(0) + H = P → H = P
So,
Hamburger (H) = Pizza (P)
---
Step 5: Use Equation (1): H + P = I + 1
We know:
- H = P
- I = 5
Substitute:
> H + H = 5 + 1
→ 2H = 6
→ H = 3
So:
-
Hamburger (H) = 3
- Since H = P →
Pizza (P) = 3
---
Summary of Values:
-
H = 3 (Hamburger)
-
P = 3 (Pizza)
-
I = 5 (Ice cream)
-
D = 0 (Donut)
---
Step 6: Evaluate the Final Expression
> H × P + I = ?
Substitute:
> 3 × 3 + 5 = 9 + 5 =
14
---
✔ Final Answer:
? = 14
---
🧩 Puzzle Solved!
The value of the question mark is
14.
Parent Tip: Review the logic above to help your child master the concept of 6th grade coloring worksheet.