Question

In a garrision 500 men had provision for 60 days. A reinforcement of 500 men arrived. The food will now last for how many days? [4 MARKS]

Answer 1

Concept: 1 Mark
Application: 3 Marks

Let the food last for x days.

$\begin{array}{cc}No.ofmeninagarrison& No.ofdays\\ 500& 60\\ 500+500& x\\ =1000& \end{array}$

This is a clear case of Indirect Variation.

When it is an indirect variation we multiply across the row

So,

$500\times 60=1000\times x$

$\Rightarrow \frac{500\times 60}{1000}=x$

$30=x$

Hence, the food in the garrison will now last for 30 days.