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.