Question
6) Sylvie and Marie simplified the expression below. Sylvie's answer was
36. Marie's answer was 52. Who was correct? For the one that was incorrect, what was her error? (2 points: Who is correct? What was the other's error? )
Who is correct?
54 - 36/6 • 3
36. Marie's answer was 52. Who was correct? For the one that was incorrect, what was her error? (2 points: Who is correct? What was the other's error? )
Who is correct?
54 - 36/6 • 3
Answers
GPT-4o mini
Let's simplify the expression step by step:
The expression is:
\[ 54 - \frac{36}{6} \cdot 3 \]
1. **Division**: First, we need to handle the division \( \frac{36}{6} \):
\[
\frac{36}{6} = 6
\]
2. **Multiplication**: Next, we multiply the result by 3:
\[
6 \cdot 3 = 18
\]
3. **Subtraction**: Now, we subtract this value from 54:
\[
54 - 18 = 36
\]
So the final result of the expression \( 54 - \frac{36}{6} \cdot 3 \) is \( 36 \).
Thus, **Sylvie is correct**.
**Marie’s error** likely came from miscalculating the expression after doing the division or multiplication incorrectly. For example, she might have incorrectly added or subtracted values instead of multiplying correctly after the division.
The expression is:
\[ 54 - \frac{36}{6} \cdot 3 \]
1. **Division**: First, we need to handle the division \( \frac{36}{6} \):
\[
\frac{36}{6} = 6
\]
2. **Multiplication**: Next, we multiply the result by 3:
\[
6 \cdot 3 = 18
\]
3. **Subtraction**: Now, we subtract this value from 54:
\[
54 - 18 = 36
\]
So the final result of the expression \( 54 - \frac{36}{6} \cdot 3 \) is \( 36 \).
Thus, **Sylvie is correct**.
**Marie’s error** likely came from miscalculating the expression after doing the division or multiplication incorrectly. For example, she might have incorrectly added or subtracted values instead of multiplying correctly after the division.