To solve this problem, we need to determine the values of the geometric shapes (hexagons), bananas, and clocks based on the given equations. Let's break it down step by step.
Step 1: Analyze the first equation
The first equation is:
\[
\text{Hexagon} + \text{Hexagon} + \text{Hexagon} = 45
\]
This can be written as:
\[
3 \times \text{Hexagon} = 45
\]
Solving for the Hexagon:
\[
\text{Hexagon} = \frac{45}{3} = 15
\]
Step 2: Analyze the second equation
The second equation is:
\[
\text{Bananas} + \text{Bananas} + \text{Hexagon} = 23
\]
We already know that the Hexagon is 15. Substituting this value in:
\[
\text{Bananas} + \text{Bananas} + 15 = 23
\]
Simplifying:
\[
2 \times \text{Bananas} + 15 = 23
\]
\[
2 \times \text{Bananas} = 23 - 15
\]
\[
2 \times \text{Bananas} = 8
\]
\[
\text{Bananas} = \frac{8}{2} = 4
\]
Step 3: Analyze the third equation
The third equation is:
\[
\text{Bananas} + \text{Clock} + \text{Clock} = 10
\]
We already know that the Bananas are 4. Substituting this value in:
\[
4 + \text{Clock} + \text{Clock} = 10
\]
Simplifying:
\[
4 + 2 \times \text{Clock} = 10
\]
\[
2 \times \text{Clock} = 10 - 4
\]
\[
2 \times \text{Clock} = 6
\]
\[
\text{Clock} = \frac{6}{2} = 3
\]
Step 4: Solve the final equation
The final equation is:
\[
\text{Clock} + \text{Bananas} + \text{Bananas} \times \text{Hexagon} = ?
\]
We know the values:
- Clock = 3
- Bananas = 4
- Hexagon = 15
Substituting these values in:
\[
3 + 4 + 4 \times 15 = ?
\]
First, perform the multiplication:
\[
4 \times 15 = 60
\]
Then, add the results:
\[
3 + 4 + 60 = 67
\]
Final Answer:
\[
\boxed{67}
\]
Parent Tip: Review the logic above to help your child master the concept of math problems.