This is a fun math puzzle where we need to assign numerical values to the symbols (monkey, banana, and palm tree) based on the given equations. Let's solve it step by step.
Step 1: Assign Variables
Let:
- \( M \) = value of the monkey
- \( B \) = value of the banana
- \( P \) = value of the palm tree
Step 2: Translate the Equations
The given equations are:
1. \( M + B + B = 28 \)
2. \( 36 = M + M + M \)
3. \( B - P = P \)
4. \( P + M + B = ? \)
Step 3: Solve Each Equation
#### Equation 2: \( 36 = M + M + M \)
This simplifies to:
\[ 36 = 3M \]
\[ M = \frac{36}{3} = 12 \]
So, the value of the monkey (\( M \)) is:
\[ M = 12 \]
#### Equation 1: \( M + B + B = 28 \)
Substitute \( M = 12 \) into the equation:
\[ 12 + B + B = 28 \]
\[ 12 + 2B = 28 \]
\[ 2B = 28 - 12 \]
\[ 2B = 16 \]
\[ B = \frac{16}{2} = 8 \]
So, the value of the banana (\( B \)) is:
\[ B = 8 \]
#### Equation 3: \( B - P = P \)
Substitute \( B = 8 \) into the equation:
\[ 8 - P = P \]
\[ 8 = P + P \]
\[ 8 = 2P \]
\[ P = \frac{8}{2} = 4 \]
So, the value of the palm tree (\( P \)) is:
\[ P = 4 \]
Step 4: Solve the Final Equation
The final equation is:
\[ P + M + B = ? \]
Substitute the values of \( P \), \( M \), and \( B \):
\[ P + M + B = 4 + 12 + 8 \]
\[ P + M + B = 24 \]
Final Answer:
\[ \boxed{24} \]
Parent Tip: Review the logic above to help your child master the concept of 5th grade math fun worksheet.