Let's solve this puzzle step by step.
We are given a series of equations using symbols. 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 symbols
Let’s assign variables to each unique symbol:
- Let
H = Heart with puzzle piece (❤️ with puzzle)
- Let
V = Vial with hearts (vial symbol)
- Let
T = Teddy bear
- Let
E = Envelope with heart
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Now, write down the equations based on the image:
1.
H + V = T
2.
8 = H + H →
2H = 8
3.
T = E × 3
4.
V - H = 1
5.
T + E × V = ? ← This is the question we need to solve.
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Step 2: Solve equation (2)
From (2):
2H = 8
→
H = 4
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Step 3: Use H = 4 in equation (4)
Equation (4):
V - H = 1
→
V - 4 = 1
→
V = 5
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Step 4: Use H and V in equation (1)
Equation (1):
H + V = T
→
4 + 5 = T
→
T = 9
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Step 5: Use T = 9 in equation (3)
Equation (3):
T = E × 3
→
9 = E × 3
→
E = 3
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Step 6: Now solve the final equation
We need to find:
T + E × V = ?
Plug in the values:
- T = 9
- E = 3
- V = 5
So:
9 + 3 × 5
Remember order of operations (PEMDAS): multiplication before addition.
→
3 × 5 = 15
→
9 + 15 = 24
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✔ Final Answer:
? = 24
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Summary of Symbol Values:
-
H (Heart with puzzle) = 4
-
V (Vial) = 5
-
T (Teddy bear) = 9
-
E (Envelope) = 3
And the final answer:
Teddy + Envelope × Vial = 9 + 3 × 5 = 24
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✔ Answer: 24
Parent Tip: Review the logic above to help your child master the concept of 6th grade math worksheet puzzles.