Sure, let's break down the problem step-by-step:
1. Define Variables:
- Let "H" represent the amount of popcorn that Hat ate.
- Let "M" represent the amount of popcorn that Mike ate.
2. Given Relationship:
- Mike ate three times as much popcorn as Hat.
- Therefore, [tex]\( M = 3H \)[/tex].
3. Total Popcorn Eaten:
- The total amount of popcorn eaten by both Hat and Mike combined is [tex]\( H + M \)[/tex].
4. Substitute the Relationship:
- Substituting [tex]\( M \)[/tex] in the total gives:
[tex]\[
\text{Total Popcorn} = H + 3H = 4H
\][/tex]
5. Calculate the Percentage:
- The percentage of the total amount of popcorn eaten by Hat can be calculated by:
[tex]\[
\text{Percentage} = \left(\frac{H}{4H}\right) \times 100
\][/tex]
6. Simplification:
- Simplifying inside the parentheses:
[tex]\[
\text{Percentage} = \left(\frac{1}{4}\right) \times 100 = 25\%
\][/tex]
So, Hat ate 25% of the total popcorn.
