Question

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

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Solution

Given that, One machine makes $50kg$ bread in$3$ mins$⇒1machine:50kg:3mins$To find the number of machines to make $300kg$ in $3$ mins:$300÷50=6$The number of machines varies directly with the amount of dough$1x6machines:50x6kg:3mins$$6machines:300kg:3mins$To find the number of machines needed if the $300$ $kg$ dough is done in $6$ mins:$6÷3=2$The number of machines is inversely proportional to the time needed.$6÷2machines:300kg:3x2mins$$3machines:300kg:6mins$Hence, We will need $3$ machines to make bread of $300kg$ dough in $6$minutes.

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