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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?

3 answers

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 \( \frac{2}{3}x + 13 = 29 \).

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.

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!