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Over a span of two weeks, John ate 20 pounds of chicken wings and 15 pounds of hot dogs. Kyle ate 20% more chicken wings and 40% more hot dogs. Considering only chicken wings and hot dogs, Kyle ate approximately x% more food, by weight, than John. What is x (rounded to the nearest percent)?
A) 25
B) 27
C) 29
D) 30

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Last updated date: 20th Jun 2024
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Answer
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Hint: In this question, we are given the amount of both chicken wings and hot dogs eaten by John and we are given that Kyle ate $40\%$ more hot dogs and $20\%$ more chicken wings than John. By converting this percentage into the weight of both the foods, we can find the weight of chicken wings and hot dogs eaten by Kyle. By adding the weights of food eaten by John, we will get the total weight of food eaten by him and similarly, we will calculate the weight of food eaten by Kyle. We can easily find the value of “x” by finding out the percentage of the difference between the weights of the two foods.

Complete step by step solution:
Chicken wings eaten by John $= 20$ pounds
Hot dogs eaten by John $= 15$ pounds
Total food eaten by John $= 20+15 = 35$ pounds
We know that Kyle ate $40\%$ more hot dogs and $20\%$ more chicken wings than John.
Chicken wings eaten by Kyle $ = 20 + \dfrac{{20}}{{100}} \times 20 = 24$ pounds
Hot dogs eaten by Kyle $ = 15 + \dfrac{{40}}{{100}} \times 15 = 21$ pounds
Total food eaten by Kyle $= 24+21 = 45$ pounds
The amount of food that Kyle ate more than John $= 45-35 = 10$ pounds
Percentage of food that Kyle ate more than John $ = \dfrac{{\text{difference}}}{{\text{food eaten by John}}} \times 100$
$ \Rightarrow \dfrac{{10}}{{35}} \times 100 = 28.57$
The percentage rounded off to the nearest decimal is $29\%$.

Hence, option (C) is the correct answer.

Note: When the digit that we are rounding off is greater than 5 then the digit before it is increased by 1, if the digit is smaller than the digit before the decimal place remains the same. As the first digit on the right side of the decimal is 7, and is greater than 5, so the digit before it is increased by 1, that is, 5 becomes 6. 6 is also greater than 6 so the digit before it is increased by 1. Thus the percentage is rounded off to 29.