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1. 50 people consume 350 kg of rice in 30 days. In how many days will 35 people consume 50 kg of rice ?

A. 2 days

B. 3 days

C. 5 days

D. 7 days

Solution:

Let the required number of days be x
Less people, More days (Indirect proportion)
Less quantity, Less days ( Direct proportion)

\begin{matrix} People 35 : 50 \\ Quantity 350 : 50 \end{matrix}} :: 30 : x

\begin{aligned} ∴ 35 \times 350 \times x = 50 \times 50 \times 30 \\ \Leftrightarrow x = \frac{(50 \times 50 \times 30)}{(35 \times 350)} \\ \Leftrightarrow x = \frac{300}{49} \\ \Leftrightarrow x = 6 \frac{6}{49} \end{aligned}

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