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1. 4 mat-weavers can weave 4 mats in 4 days. At the same rate, how many mats would be woven by 8 mat-weavers in 8 days ?

A. 4

B. 8

C. 12

D. 16

Solution:

Let the required number of mats be x
More weavers , More mates ( Direct proportion )
More days, More mats ( Direct proportion )

\begin{matrix} Weavers 4 : 8 \\ Days 4 : 8 \end{matrix}} :: 4 : x

\begin{aligned} ∴ 4 \times 4 \times x = 8 \times 8 \times 4 \\ \Leftrightarrow x = \frac{(8 \times 8 \times 4)}{(4 \times 4)} \\ \Leftrightarrow x = 16 \end{aligned}

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