Bot GPT 4-o mini The equation \( 3x = 24 \) can be interpreted as:
- \( 3x \) represents three times the value of \( x \).
- \( 24 \) is the result of this multiplication.
To find \( x \), you would solve the equation by dividing both sides by 3:
\[ x = \frac{24}{3} = 8 \]
Now let's analyze the responses:
-
The cost of a pair of shoes is three times the cost of a shirt. If the cost of the shirt is $24, how much does the pair of shoes cost?
- This scenario does not match because it suggests calculating the cost of the shoes, which would actually require finding \( x \) such that \( 3x = \text{cost of shoes} \).
-
A survey was conducted to determine the favorite subject of seventh grade students. One-third of all surveyed, or 24 students, said math is their favorite subject. How many students were surveyed?
- This can be set up as \( \frac{1}{3} \times \text{total students} = 24 \). This scenario does not fit the equation \( 3x = 24 \).
-
Andrew picks three words from a dictionary every week and lists them in his notebook. So far, he has listed 24 words. How many weeks has Andrew been doing this?
- Here, we have \( 3x = 24 \), where \( x \) would represent the number of weeks. This fits perfectly since \( x = 8 \) (so, Andrew has been doing this for 8 weeks).
-
Rita bought stickers and divided them among herself and two other friends. Each one received 24 stickers. How many stickers did Rita buy?
- This suggests that there are 3 people, and each got 24 stickers, leading to \( 3 \times \text{stickers per person} = \text{total stickers} \). This is not represented by the equation \( 3x = 24 \) because it pertains to the total number of stickers rather than how many each receives.
The only response that corresponds to the equation \( 3x = 24 \) is:
Andrew picks three words from a dictionary every week and lists them in his notebook. So far, he has listed 24 words. How many weeks has Andrew been doing this?
3 answers