A group of 21 people have enough food for 24 days. If 15 additional people join them, they would have enough food for only___days. (Assume everyone eats the same amount of food each day)
say each eats one pound per day :)
I have 21 * 24 = 504 pounds
now I have 21 + 15 = 36 people or 36 lb/day
504 pounds/36 lbs/day = 14 days
5m+13
To solve this problem, we need to find out how many days the group of 36 people would have enough food for.
Given:
- A group of 21 people has enough food for 24 days.
To find out the number of days the group of 36 people would have enough food for, we can create a proportion based on the number of people (21 to 36) and the number of days (24 to x).
The proportion can be set up as:
21 people / 36 people = 24 days / x days
To solve the proportion, we can cross-multiply and solve for x:
21 * x = 36 * 24
Multiplying the values on each side of the equation, we get:
21x = 864
Dividing both sides of the equation by 21, we get:
x = 864 / 21
Evaluating the division, we find:
x ≈ 41.14
Therefore, if 15 additional people join the group of 21 people, they would have enough food for approximately 41.14 days.