Question

A fort had provisions for 300 men for 90 days. After 20 days, 50 men left the fort. How long would the food last at the same rate?
(3 marks)

Answer 1

Remaining number of men = (300 - 50) = 250.

Remaining number of days = (90 - 20) days = 70 days.

300 men had provisions for 70 days

(1 mark)

Let the number of days the food last for 250 men be $x$. So, $300\times 70=250x$

(1 mark)

$x=\frac{300\times 70}{250}=84$ days

Hence, the remaining food will last for 84 days.
(1 mark)