Question

A group of 200 men has 24 weeks of food material. After the end of one week, 8 more men joined the group and for each person the food content for each day decreased from 900 grams to 750 grams, for how long will the food material last?​

Answer 1

Answer:

200+8=208

24×7=618

208/618

104/309

Answer 2

Answer:

The food material last for 26.5 weeks.

Step-by-step explanation:

Food consumed in one week = $200\times 900=180000\ gm$

Total food quantity available = $200\times 24\times 900= 4320000\ gm$

Food remains after 1 week = $200\times 23\times 900= 4140000\ gm$

8 more men joined after the end of one week.

Now, total men in a group = $200+8=208$

For each person the food content for each day decreased from 900 grams to 750 grams.

Therefore, the number of weeks for which food material last = $\frac{(200\times 23\times 900)}{208\times 750}$

$=26.5\ weeks$

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