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Lucy is a dress maker. She sews \dfrac47

7

4

​

start fraction, 4, divided by, 7, end fraction of a dress in \dfrac34

4

3

​

start fraction, 3, divided by, 4, end fraction hour. Lucy sews at a constant rate.

Answer :

lublana

Answer:

[tex]\frac{16}{21}[/tex] dresses

Step-by-step explanation:

We are given that

Lucy sews dress in 3/4 hours=[tex]\frac{4}{7}[/tex] of dress

Lucy sews at constant rate.

We have to find the number of dresses sewed by Lucy in hour.

To find number of dress sewed by Lucy in 1 hour we will use unitary method.

By using unitary method

Lucy sews in 3/4 hours=[tex]\frac{4}{7}[/tex] dress

Lucy sews in 1 hour=[tex]\frac{\frac{4}{7}}{\frac{3}{4}}[/tex]

Lucy sews in 1 hour=[tex]\frac{4}{7}\times \frac{4}{3}[/tex]

Lucy sews in 1 hour=[tex]\frac{16}{21}[/tex] dresses

Hence, Lucy sews [tex]\frac{16}{21}[/tex] dresses in 1 hour.

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