Question 53

12 men can weave 20 shawls in 9 days. How many men will be required to weave 25 shawls in 27 days?

Solution

12 men can weave 20 shawls in 9 days. How many men will be required to weave 25 shawls in 27 days?

$$\frac{men_{_1}\times\ days_{_1}}{work_{_1}}\ =\ \frac{men_{_2}\times\ days_{_2}}{work_{_2}}$$

$$\frac{12\times9}{20} = \frac{men_{_2}\times 27}{25}$$

$$\frac{108}{20} = \frac{men_{_2}\times 27}{25}$$

$$\frac{27}{5} = \frac{men_{_2}\times 27}{25}$$

$$men_{_2} = 5$$

So 5 men will be required to weave 25 shawls in 27 days.


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