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Solve the puzzle by finding the value of each gaming symbol to complete the final equation.

A black and white puzzle image titled "Puzzle Time!" featuring four equations with symbols of a smartphone, game console, game controller, and handheld gaming device, asking to find the value of each symbol and the final sum.

A black and white puzzle image titled "Puzzle Time!" featuring four equations with symbols of a smartphone, game console, game controller, and handheld gaming device, asking to find the value of each symbol and the final sum.

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Show Answer Key & Explanations Step-by-step solution for: Free Math Puzzles — Mashup Math
Let's solve this puzzle step by step.

We are given a series of equations using symbols for different gaming devices. Our goal is to find the value of each symbol and then compute the final expression:

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Step 1: Assign variables to each symbol



Let’s define:
- M = Mobile phone (smartphone)
- C = Console (with controller on top)
- G = Gamepad (controller)
- P = Portable handheld game device (like a Game Boy)

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Given Equations:



1. M + C + G = 23
2. M = G
3. P - C = 13
4. C + P = 27
5. Find: M + C + G + P = ?

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Step 2: Use Equation (2): M = G



So we can substitute M with G in any equation.

From (1):
M + C + G = 23
But since M = G, replace M:
G + C + G = 232G + C = 23 → (Equation A)

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Step 3: Use Equations (3) and (4):



(3): P - C = 13 → P = C + 13
(4): C + P = 27

Now substitute P from (3) into (4):

C + (C + 13) = 27
→ 2C + 13 = 27
→ 2C = 14
C = 7

Now plug back to find P:
P = C + 13 = 7 + 13 = 20

So:
- C = 7
- P = 20

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Step 4: Use Equation A: 2G + C = 23



We know C = 7:
2G + 7 = 23
→ 2G = 16
G = 8

Then from (2): M = G → M = 8

---

Now we have all values:


- M (Mobile) = 8
- C (Console) = 7
- G (Gamepad) = 8
- P (Portable) = 20

---

Final Expression:


M + C + G + P = ?

= 8 + 7 + 8 + 20 = 43

---

Answer: ? = 43



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Summary of Values:


- Phone (M) = 8
- Console (C) = 7
- Controller (G) = 8
- Handheld (P) = 20

And the total: 8 + 7 + 8 + 20 = 43

Answer: 43
Parent Tip: Review the logic above to help your child master the concept of 5th grade math puzzles worksheet.
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