A bread making machine can make bread of $50 k g$ dough in $3$ minutes. How many such machines are required to make $300 k g$ bread in $6$ minutes?

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Solution

Given that, One machine makes $50 k g$ bread in $3$ mins
$\Rightarrow 1 m a c h i n e : 50 k g : 3 m i n s$
To find the number of machines to make $300 k g$ in $3$ mins:
$300 \div 50 = 6$
The number of machines varies directly with the amount of dough
$1 x 6 m a c h i n e s : 50 x 6 k g : 3 m i n s$
$6 m a c h i n e s : 300 k g : 3 m i n s$
To find the number of machines needed if the $300$ $k g$ dough is done in $6$ mins:
$6 \div 3 = 2$
The number of machines is inversely proportional to the time needed.
$6 \div 2 m a c h i n e s : 300 k g : 3 x 2 m i n s$
$3 m a c h i n e s : 300 k g : 6 m i n s$
Hence, We will need $3$ machines to make bread of $300 k g$ dough in $6$ minutes.

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