Researchers carried out a study of the calorie content of meals in 89 fast food restaurants, using a diverse group...

Phase 1: Owning the Dataset

Understanding the Given Information

We have a study with:

• Total participants: 3,300
• Two-thirds underestimated their meal calories
• One-quarter underestimated by at least 500 calories

Visual Representation

Let's create a number line showing participant groups:

Total Participants: 3,300
|----------------------------------------|

Underestimated (any amount): 2/3 of all
|------------------------|

Underestimated by ≥500 cal: 1/4 of all  
|------|

Phase 2: Understanding the Question

We need to complete:

• Blank 1: Number of participants who underestimated (any amount)
• Blank 2: Number of participants who underestimated by at least 500 calories

The key insight: Both fractions refer to "of all participants" (the full 3,300).

Phase 3: Finding the Answer

Calculating Blank 1

Participants who underestimated = \(\frac{2}{3} \times 3,300\)
= 2,200 participants

Calculating Blank 2

Participants who underestimated by ≥500 calories = \(\frac{1}{4} \times 3,300\)
= 825 participants

Both calculations are straightforward multiplications that can be done mentally or with a calculator.

Phase 4: Solution

Final Answer:

• Statement 1: 2,200
• Statement 2: 825

These values complete the sentence: "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."