To solve this problem, we need to determine the values of the symbols (spider, cauldron, and ghost) based on the given equations and then use those values to solve the final equation.
Step 1: Assign Variables
Let:
- Spider = \( S \)
- Cauldron = \( C \)
- Ghost = \( G \)
Step 2: Analyze the Equations
#### Equation 1:
\[ S + S + S = 24 \]
This simplifies to:
\[ 3S = 24 \]
Solving for \( S \):
\[ S = \frac{24}{3} = 8 \]
#### Equation 2:
\[ C + C + S = 18 \]
Substitute \( S = 8 \):
\[ C + C + 8 = 18 \]
\[ 2C + 8 = 18 \]
Solving for \( C \):
\[ 2C = 18 - 8 \]
\[ 2C = 10 \]
\[ C = \frac{10}{2} = 5 \]
#### Equation 3:
\[ C + G + G = 11 \]
Substitute \( C = 5 \):
\[ 5 + G + G = 11 \]
\[ 5 + 2G = 11 \]
Solving for \( G \):
\[ 2G = 11 - 5 \]
\[ 2G = 6 \]
\[ G = \frac{6}{2} = 3 \]
Step 3: Solve the Final Equation
The final equation is:
\[ G + C + C \times S = ? \]
Substitute the values we found:
\[ G = 3, \quad C = 5, \quad S = 8 \]
So the equation becomes:
\[ 3 + 5 + 5 \times 8 = ? \]
Step 4: Apply the Order of Operations (PEMDAS/BODMAS)
First, perform the multiplication:
\[ 5 \times 8 = 40 \]
Then, perform the addition:
\[ 3 + 5 + 40 = 48 \]
Final Answer:
\[ \boxed{48} \]
Parent Tip: Review the logic above to help your child master the concept of halloween math puzzles.