Question

Which real-world problem can be modeled by the equation 2/3x+13=29 ?(1 point)
Responses

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?
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 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.

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?

If you do 2/3 of your homework problems today and 13 problems tomorrow, how long will it take you to complete 29 problems?

1 answer

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

Gabriel bought a new pair of shoes for $29. This is $13 more than \( \frac{2}{3} \) the cost of his old shoes.

This is because the equation implies that after spending $13 more than \( \frac{2}{3} \) of the cost of the old shoes, the total spent is $29.

So the correct response is:

Gabriel bought a new pair of shoes for $29. This is $13 more than \( \frac{2}{3} \) the cost of his old shoes.