SOLUTION: In a hostel there are 200 students food last for 50 days . After 20 days 50 Student left the hostel and how long food last for ?

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Question 1011510: In a hostel there are 200 students food last for 50 days . After 20 days 50 Student left the hostel and how long food last for ?
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39616) About Me  (Show Source):
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Two hundred students CONSUME THE FOOD in 50 days; so 1 student consumes THE FOOD in 200%2A50%2Adays=10000%2Adays. The one-student rate is %281%2F1000%29%28FOOD%2FDAY%29. This is the key to use.

Two parts make the job of CONSUME THE FOOD.
200 students for 20 days, and then 200-50=150 students for unknown t days.


Again, the job is CONSUME THE FOOD.
200%2A%281%2F10000%29%2A20%2B150%281%2F10000%29%2At=1

2%2F10%2B%2815%2F1000%29t=1

1%2F5%2B3t%2F200=1

40%2B3t=200

3t=160

t=160%2F3
highlight%28t=54%261%2F3%29, which may mean, fifty-three days and one-third of a day.

Answer by MathTherapy(10551) About Me  (Show Source):
You can put this solution on YOUR website!
In a hostel there are 200 students food last for 50 days . After 20 days 50 Student left the hostel and how long food last for ?
INVERSE variation.
After 20 days, 2%2F5 of food is consumed by the 200 students
The remaining 3%2F5 of food will last the remaining 150 (200 - 50) students, highlight_green%2840%29 days