Which one of the following equations is correct?

Options

A. `6xx5-24-:3+1=23`
B. `6xx5-24-:3+1=3`
C. `6-:3-1+24xx5=135`
D. `6-:3-1+24xx5=117`

Explanation

To determine which equation is correct from the given options, we will evaluate each option step by step using the BODMAS rule (Brackets, Orders, Division, Multiplication, Addition, Subtraction).

### Step-by-Step Solution:

**Option 1:**
Evaluate the expression: \( 6 \times 5 - \frac{24}{3} + 1 \)

1. **Division**: Calculate \( \frac{24}{3} \):
\[ \frac{24}{3} = 8 \]
Now the expression becomes:
\[ 6 \times 5 - 8 + 1 \]

2. **Multiplication**: Calculate \( 6 \times 5 \):
\[ 6 \times 5 = 30 \]
Now the expression becomes:
\[ 30 - 8 + 1 \]

3. **Subtraction**: Calculate \( 30 - 8 \):
\[ 30 - 8 = 22 \]
Now the expression becomes:
\[ 22 + 1 \]

4. **Addition**: Calculate \( 22 + 1 \):
\[ 22 + 1 = 23 \]

**Conclusion for Option 1**: The result is 23.

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**Option 2:**
Evaluate the expression: \( 6 \times 5 - \frac{3 \times 8}{1} \)

1. **Multiplication**: Calculate \( 3 \times 8 \):
\[ 3 \times 8 = 24 \]
Now the expression becomes:
\[ 6 \times 5 - 24 \]

2. **Multiplication**: Calculate \( 6 \times 5 \):
\[ 6 \times 5 = 30 \]
Now the expression becomes:
\[ 30 - 24 \]

3. **Subtraction**: Calculate \( 30 - 24 \):
\[ 30 - 24 = 6 \]

**Conclusion for Option 2**: The result is 6.

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**Option 3:**
Evaluate the expression: \( 6 \times \frac{3}{2} - 1 + 24 \times 5 \)

1. **Multiplication**: Calculate \( 24 \times 5 \):
\[ 24 \times 5 = 120 \]
Now the expression becomes:
\[ 6 \times \frac{3}{2} - 1 + 120 \]

2. **Multiplication**: Calculate \( 6 \times \frac{3}{2} \):
\[ 6 \times \frac{3}{2} = 9 \]
Now the expression becomes:
\[ 9 - 1 + 120 \]

3. **Subtraction**: Calculate \( 9 - 1 \):
\[ 9 - 1 = 8 \]
Now the expression becomes:
\[ 8 + 120 \]

4. **Addition**: Calculate \( 8 + 120 \):
\[ 8 + 120 = 128 \]

**Conclusion for Option 3**: The result is 128.

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**Option 4:**
Evaluate the expression: \( 3 \times 2 - 1 + 120 \)

1. **Multiplication**: Calculate \( 3 \times 2 \):
\[ 3 \times 2 = 6 \]
Now the expression becomes:
\[ 6 - 1 + 120 \]

2. **Subtraction**: Calculate \( 6 - 1 \):
\[ 6 - 1 = 5 \]
Now the expression becomes:
\[ 5 + 120 \]

3. **Addition**: Calculate \( 5 + 120 \):
\[ 5 + 120 = 125 \]

**Conclusion for Option 4**: The result is 125.

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### Final Results:
- Option 1: 23
- Option 2: 6
- Option 3: 128
- Option 4: 125

**Correct Answer**: None of the options provided the correct answer as per the calculations. However, if we were to check the original question, it seems that Option 1 was indicated as correct in the video transcript.