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e. Translate the word problem below into an equation; then solve. It only takes Vera 2 hours to sew 1 dress, but it takes Ivy 4 hours. Working together, how many hours would it take the two of them to sew 12 dresses? ​

Sagot :

Using the together rate, it is found that it would take them 16 hours to sew 12 dresses.

What is the together rate?

The together rate is the sum of each separate rate.

In this problem, we have that:

  • Vera's rate is of 1/2.
  • Ivy's rate is of 1/4.

Hence, the together rate is the time it would take them to produce one dress working together, and is given by:

[tex]\frac{1}{x} = \frac{1}{2} + \frac{1}{4}[/tex]

[tex]\frac{1}{x} = \frac{2 + 1}{4}[/tex]

[tex]3x = 4[/tex]

[tex]x = \frac{4}{3}[/tex]

Then one dress takes [tex]\frac{4}{3}[/tex] of an hour, and the time for twelve dresses is:

[tex]t = 12 \times \frac{4}{3} = 4(4) = 16[/tex]

It would take them 16 hours to sew 12 dresses.

To learn more about the together rate, you can take a look at https://brainly.com/question/25159431

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