Answer:
In order to determine how many days it would take for m more students to eat the same amount of cookies, we need to consider the relationship between the number of cookies, the number of students, and the number of days.
Let's break down the information provided in the question:
- The cook made c cookies.
- These cookies fed s students for 10 days.
To find out how many days it would take for m more students to eat the same amount of cookies, we need to consider the total number of students that the cookies need to feed.
If s students were able to consume the cookies for 10 days, then the total number of cookies is given by the equation: c = s * 10. This is because each student consumes the same amount of cookies every day.
To determine how many cookies each student consumes in a day, we divide the total number of cookies by the number of students: cookies_per_student = c / s.
Now, let's calculate how many days it would take for m more students to eat the same amount of cookies.
If we have (s + m) students, the total number of cookies they will consume in a day is given by: cookies_per_day = (s + m) * cookies_per_student.
To find the number of days, we divide the total number of cookies by the number of cookies consumed per day: days = c / cookies_per_day.
Substituting the values, we get: days = c / ((s + m) * (c / s)).
Simplifying the equation, we find that the number of days it would take for m more students to eat the same amount of cookies is: days = 10s / (s + m).
Therefore, it would take 10s / (s + m) days for m more students to eat the same amount of cookies in the Ptomaine cafeteria.