Which real-world problem can be modeled by the equation 2/3x+13=29

Question

?(1 point)
Responses

If you do 23
of your homework problems today and 13 problems tomorrow, how long will it take you to complete 29 problems?
If you do Start Fraction 2 over 3 End Fraction 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 23
of the oranges he needs and his brother will get another 13 oranges. How many oranges does Luis have?
Luis needs to bring 29 oranges to a party. He has Start Fraction 2 over 3 End Fraction of the oranges he needs and his brother will get another 13 oranges. How many oranges does Luis have?

Gabriel bought a new pair of shoes for $29. This is $13 more than 23
the cost of his old shoes.
Gabriel bought a new pair of shoes for $29. This is $13 more than Start Fraction 2 over 3 End Fraction the cost of his old shoes.

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?

Answer 1

The equation \( \frac{2}{3}x + 13 = 29 \) can be interpreted in the context of the options you've provided.

The correct response is:

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?

This matches the equation because:

• \( x \) would represent the total number of oranges Luis needs.
• \( \frac{2}{3}x \) represents the amount of oranges he currently has.
• The additional 13 oranges from his brother are added to get to the total of 29 oranges required for the party.

Thus, this scenario directly corresponds to the equation given.