Let's solve this step by step using the given equations with fruits.
We are given:
1.
Apple × Apple × Apple = 27
2.
Apple × Lemon × Lemon × Lemon = 24
3.
Apple × Lemon × Orange × Orange = 96
4.
Orange + Apple × Lemon = ?
Let’s assign variables:
- Let
A = Apple
- Let
L = Lemon
- Let
O = Orange
---
Step 1: Solve for Apple (A)
From equation (1):
A × A × A = 27
A³ = 27
A = ∛27 =
3
So,
Apple = 3
---
Step 2: Use Apple to find Lemon (L)
From equation (2):
A × L × L × L = 24
3 × L³ = 24
L³ = 24 / 3 = 8
L = ∛8 =
2
So,
Lemon = 2
---
Step 3: Use Apple and Lemon to find Orange (O)
From equation (3):
A × L × O × O = 96
3 × 2 × O² = 96
6 × O² = 96
O² = 96 / 6 = 16
O = √16 =
4
So,
Orange = 4
---
Step 4: Solve the final expression
Now compute:
Orange + Apple × Lemon
Using order of operations (PEMDAS), multiplication before addition:
= O + A × L
= 4 + 3 × 2
= 4 + 6
=
10
---
✔ Final Answer: 10
Parent Tip: Review the logic above to help your child master the concept of math puzzles.
