a garrison of 500 men had provisions for 27 days after..., Chain Rule, General Mathematics

Question:A garrison of `500` men had provisions for `27` days. After `3` days, a reinforcement of `300` men arrived. The remaining food will now last for how many days ?

A `15` 
B `16` 
C `17 1/2` 
D `18`

/17

+ AnswerA

+ ExplanationThe remaining food is sufficient for `500` men for `24` days.

But, now the number of men `= (500 + 300) = 800`.

More men, less days (Indirect)

`800 : 500 :: 24 : x` or

`800x = 500 xx 24` or

`x = (500 xx 24)/800`

`x = 15`.

`:.` The food will now last for `15` days.

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