Question

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.)

Answer 1

Lucy sews
`(16)/(21)` dresses in 1 hour.

Explanation:

Given:

Lucy sews
`(4)/(7)` of a dress in
`(3)/(4)` hour.

She sews at constant rate.

We need to find the number of dresses she makes in 1 hour.

In
`(3)/(4)` hour =
`(4)/(7)` dress

So in 1 hour = Number of dresses in 1 hour

By using Unitary method we get;

Number of dresses in 1 hour=
`((4)/(7))/((3)/(4)) = (4)/(7)* (4)/(3)= (16)/(21)`

Hence Lucy sews
`(16)/(21)` dresses in 1 hour.