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parkhydel
Researchers carried out a study of the calorie content of meals in 89 fast food restaurants, using a diverse group of approximately 3,300 participants. The researchers collected receipts from the participants to calculate the calorie content of their meals, and then they administered a short questionnaire asking participants to estimate the calorie content of their meals. The average (arithmetic mean) calorie content of the meals was 775, and the participants underestimated the calorie content of their meals by an average of 200 calories. Two-thirds of all participants underestimated the calorie content of their meals, with approximately one-quarter of all participants underestimating the calorie content by at least 500 calories.

Consider the following incomplete sentence:

Approximately __1__ of the participants underestimated the calorie content of their meals, and approximately __2__ of the participants underestimated the calorie content by at least 500 calories.

Select for 1 and for 2 the values that complete the sentence in a manner consistent with the information provided. Make only two selections, one in each column.
­
Given: Two-thirds of all participants underestimated the calorie content of their meals, with approximately one-quarter of all participants underestimating the calorie content by at least 500 calories.
Number of participants = 3300

Approximately __1__ of the participants underestimated the calorie content of their meals, and approximately __2__ of the participants underestimated the calorie content by at least 500 calories.

Number of people who underestimated the calorie content of their meals = (2/3)*3300 = 2200

Number of people who underestimated the calorie content by at least 500 calories = (1/4)*3300 = 825

ANSWER: 2200, 825­
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This question is really straightforward.I was looking for some trick involved. No way of such higher difficulty level...
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­Approximately __2,200__ of the participants underestimated the calorie content of their meals, and approximately __825__ of the participants underestimated the calorie content by at least 500 calories.

Participants underestimated the calorie content of their meals
\(3300 * \frac{2}{3} = 2200\)

Participants underestimated the calorie content by at least 500 calories
\(3300 * \frac{1}{4} = 825\)
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Given:
Total Participants = 3,300
Two-thirds underestimated calories: \(2/3* 3000 = 2200 \)
One-quarter underestimated by at least 500 calories: \(1/4*3300 = 825 \)

Thus the values are 2,200 and 825
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