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 = 23 →
2G + 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
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Now we have all values:
-
M (Mobile) = 8
-
C (Console) = 7
-
G (Gamepad) = 8
-
P (Portable) = 20
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Final Expression:
M + C + G + P = ?
= 8 + 7 + 8 + 20 =
43
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✔ 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.