1. Stating the problem: John ate 20 pounds of chicken wings and 15 pounds of hot dogs. Kyle ate 20% more chicken wings and 40% more hot dogs. We need to find the approximate percentage by which Kyle's total food intake exceeded John's. 2. Calculate Kyle's chicken wings intake: Since Kyle ate 20% more, multiply John's 20 pounds by $1 + 0.20 = 1.20$. $$20 \times 1.20 = 24\text{ pounds}$$ 3. Calculate Kyle's hot dogs intake: Since Kyle ate 40% more, multiply John's 15 pounds by $1 + 0.40 = 1.40$. $$15 \times 1.40 = 21\text{ pounds}$$ 4. Calculate the total food intake for John and Kyle: John's total: $$20 + 15 = 35\text{ pounds}$$ Kyle's total: $$24 + 21 = 45\text{ pounds}$$ 5. Find the difference in total intake: $$45 - 35 = 10\text{ pounds}$$ 6. Calculate the percentage increase of Kyle's intake over John's: $$\frac{10}{35} \times 100 = 28.57\%$$ 7. Round to the nearest percent: $$29\%$$ Answer: C) 29