Let's solve this fun
"Basketball Math" puzzle step by step!
We are given a series of equations using symbols:
- 🏀 (basketball)
- 🏀 (hoop)
- 👟 (shoe)
- 📋 (clipboard)
We need to find the value of each symbol and then compute the final expression:
---
Step 1: Assign variables
Let:
- $ B $ = basketball
- $ H $ = hoop
- $ S $ = shoe
- $ C $ = clipboard
Now let’s write out the equations.
---
Equation 1:
$$
B \times H \times B = 216
\Rightarrow B^2 \times H = 216 \quad \text{(1)}
$$
---
Equation 2:
$$
H + S + S = 42
\Rightarrow H + 2S = 42 \quad \text{(2)}
$$
---
Equation 3:
$$
H \times B = 36 \quad \text{(3)}
$$
---
Equation 4:
$$
C + B + S = 34 \quad \text{(4)}
$$
---
Final Question:
$$
B \times C + 2S = ? \quad \text{(We need to find this)}
$$
---
Let’s solve step by step.
---
From Equation (3): $ H \times B = 36 $
So $ H = \frac{36}{B} $
Plug into Equation (1):
$$
B^2 \times H = 216
\Rightarrow B^2 \times \left( \frac{36}{B} \right) = 216
\Rightarrow B \times 36 = 216
\Rightarrow B = \frac{216}{36} = 6
$$
✔ So,
$ B = 6 $ (basketball = 6)
---
Now from Equation (3):
$ H \times B = 36 $
$ H \times 6 = 36 $
⇒ $ H = 6 $
✔ So,
$ H = 6 $ (hoop = 6)
---
Now use Equation (2):
$ H + 2S = 42 $
$ 6 + 2S = 42 $
$ 2S = 36 $
$ S = 18 $
✔ So,
$ S = 18 $ (shoe = 18)
---
Now use Equation (4):
$ C + B + S = 34 $
$ C + 6 + 18 = 34 $
$ C + 24 = 34 $
$ C = 10 $
✔ So,
$ C = 10 $ (clipboard = 10)
---
Now solve the final expression:
$$
B \times C + 2S = ?
$$
Substitute values:
$$
6 \times 10 + 2 \times 18 = 60 + 36 = \boxed{96}
$$
---
✔ Final Answer: 96
---
Summary of Values:
- Basketball (🏀) = 6
- Hoop (🏀) = 6
- Shoe (👟) = 18
- Clipboard (📋) = 10
Final calculation:
$ 6 \times 10 + 2 \times 18 = 60 + 36 = \boxed{96} $
🎉
Answer: 96
Parent Tip: Review the logic above to help your child master the concept of basketball math worksheet.