Final answer:
To make the food last one more day, the new ration size should be 15,625 g/day.
Explanation:
To solve this problem, we need to calculate the daily consumption rate to find the new ration size. Given that a ton of food lasts 7 days with 120 g rations each day, the total amount consumed daily is 120 g/day x 1000 kg / 7 days = 17,142.857 g/day. To make the food last 8 days, divide 1000 kg by 8 days = 125 kg per day. Hence, the new ration size would be 125,000 g / 8 days = 15,625 g/day.
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