SOLUTION: Will someone solve and explain this question: Q: A garrison has enough food to last for 24 days. How much longer will the food last if each individual ration can be reduced by 2

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Question 946461: Will someone solve and explain this question:
Q: A garrison has enough food to last for 24 days. How much longer will the food last if each individual ration can be reduced by 20% ?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Rate x Time = Total Output
So they're eating at 100% rate or R for 24 days.
So the Total Output they are consuming is,
O=R%2At
O=24R
So they have 24R amount of food.
Now if instead of using at rate R, they reduce it by 20%, then the new R,
R%5Bn%5D=R-%2820%2F100%29R=0.8R
You still have the same amount of food, find the new time.
R%2At=O
R%5Bn%5D%2At%5Bn%5D=24R
0.8R%2At%5Bn%5D=24R
t%5Bn%5D=%2824R%29%2F%280.8R%29
t%5Bn%5D=30
They could hold out for 30 days by reducing rations 20%.