Answer:
Lucy sews [tex]\frac{16}{21}[/tex] dresses in 1 hour.
Step-by-step explanation:
Given:
Lucy sews [tex]\frac{4}{7}[/tex] of a dress in [tex]\frac{3}{4}[/tex] hour.
She sews at constant rate.
We need to find the number of dresses she makes in 1 hour.
In [tex]\frac{3}{4}[/tex] hour = [tex]\frac{4}{7}[/tex] dress
So in 1 hour = Number of dresses in 1 hour
By using Unitary method we get;
Number of dresses in 1 hour= [tex]\frac{\frac{4}{7}}{\frac{3}{4}} = \frac{4}{7}\times \frac{4}{3}= \frac{16}{21}[/tex]
Hence Lucy sews [tex]\frac{16}{21}[/tex] dresses in 1 hour.