Question
Which real-world problem can be modeled by the equation 2/3x+13=29?
Responses
Vanessa wants to save money for a new backpack that costs $29. She has saved $13. How long will it take her to save the money?
Gabriel bought a new pair of shoes for $29. This is $13 more than 2/3
the cost of his old shoes.
If you do 2/3 of your homework problems today and 13 problems tomorrow, how long will it take you to complete 29 problems?
Luis needs to bring 29 oranges to a party. He has 2/3
of the oranges he needs and his brother will get another 13 oranges. How many oranges does Luis have?
Responses
Vanessa wants to save money for a new backpack that costs $29. She has saved $13. How long will it take her to save the money?
Gabriel bought a new pair of shoes for $29. This is $13 more than 2/3
the cost of his old shoes.
If you do 2/3 of your homework problems today and 13 problems tomorrow, how long will it take you to complete 29 problems?
Luis needs to bring 29 oranges to a party. He has 2/3
of the oranges he needs and his brother will get another 13 oranges. How many oranges does Luis have?
Answers
GPT-4o mini
The equation \( \frac{2}{3}x + 13 = 29 \) can be modeled by the problem:
**Luis needs to bring 29 oranges to a party. He has \( \frac{2}{3} \) of the oranges he needs and his brother will get another 13 oranges. How many oranges does Luis have?**
Here's why this problem fits the equation:
- Let \( x \) represent the total number of oranges Luis currently has.
- He has \( \frac{2}{3}x \) which represents the oranges he already has.
- His brother brings in 13 additional oranges.
- Together, they need to equal 29 oranges for the party.
This leads us to the equation \( \frac{2}{3}x + 13 = 29 \).
**Luis needs to bring 29 oranges to a party. He has \( \frac{2}{3} \) of the oranges he needs and his brother will get another 13 oranges. How many oranges does Luis have?**
Here's why this problem fits the equation:
- Let \( x \) represent the total number of oranges Luis currently has.
- He has \( \frac{2}{3}x \) which represents the oranges he already has.
- His brother brings in 13 additional oranges.
- Together, they need to equal 29 oranges for the party.
This leads us to the equation \( \frac{2}{3}x + 13 = 29 \).
WRONG....The CORRECT ANSWER is: Gabriel bought a new pair of shoes for $29. This is $13 more than 2/3 the cost of his old shoes.
GPT-4o mini
I apologize for the confusion, and I appreciate your clarification.
Let's analyze the statement related to Gabriel:
- Gabriel bought a new pair of shoes for $29.
- This amount is $13 more than \( \frac{2}{3} \) the cost of his old shoes.
If we let \( y \) represent the cost of Gabriel's old shoes, then the relationship can be expressed as:
\[ \frac{2}{3}y + 13 = 29 \]
This equation fits exactly with \( \frac{2}{3}x + 13 = 29 \) if we let \( x \) represent the cost of Gabriel's old shoes.
So, indeed, the correct interpretation of the equation in a real-world context is regarding Gabriel's shoes. Thank you for your patience, and I'm glad you pointed that out!
Let's analyze the statement related to Gabriel:
- Gabriel bought a new pair of shoes for $29.
- This amount is $13 more than \( \frac{2}{3} \) the cost of his old shoes.
If we let \( y \) represent the cost of Gabriel's old shoes, then the relationship can be expressed as:
\[ \frac{2}{3}y + 13 = 29 \]
This equation fits exactly with \( \frac{2}{3}x + 13 = 29 \) if we let \( x \) represent the cost of Gabriel's old shoes.
So, indeed, the correct interpretation of the equation in a real-world context is regarding Gabriel's shoes. Thank you for your patience, and I'm glad you pointed that out!