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

Question

?(1 point)
Responses

If you do 2/3
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?

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?
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.
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.

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?

Answer 1

The equation \( \frac{2}{3} x + 13 = 29 \) can be best modeled by the statement:

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 is because the equation reflects the situation where \( \frac{2}{3} x \) represents the portion of oranges Luis currently has, and the additional 13 oranges from his brother, together totaling 29. So, the best option that fits the equation is the one about Luis and the oranges.