Lucy is a dress maker. She sews 4/7 of a dress in 3/4 hour. Lucy sees at a constant rate. At this rate, how many dresses does lucy see in one hour? (Include fractions of dresses if applicable.)

Respuesta :

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.

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