Explanation:

Let's break down the problem and see which option makes the equation correct:

- Original Equation: 22 - 9 ÷ 5 + 10 × 1 = 29

- Simplify left side:

- Division first: 9 ÷ 5 = 1.8

- Remainder equation: 22 - 1.8 + 10 × 1

- Multiply next: 10 × 1 = 10

- Final calculation: 22 - 1.8 + 10 = 30.2 (discrepancy)

- Option 1: Interchange 22 and 10

- New Equation: 10 - 9 ÷ 5 + 22 × 1

- Simplify: 10 - 1.8 + 22 = 30.2 (not equal to 29)

- Option 2: Interchange 5 and 1

- New Equation: 22 - 9 ÷ 1 + 10 × 5

- Simplify: 22 - 9 + 50 = 63 (not equal to 29)

- Option 3: Interchange 10 and 9

- New Equation: 22 - 10 ÷ 5 + 9 × 1

- Simplify: 22 - 2 + 9 = 29 ?

- Option 4: Interchange 5 and 10

- New Equation: 22 - 9 ÷ 10 + 5 × 1

- Simplify: 22 - 0.9 + 5 = 26.1 (not equal to 29)

Therefore, the correct option is Option 3.