Answered

Get the answers you need from a community of experts on IDNLearn.com. Get accurate and timely answers to your queries from our extensive network of experienced professionals.

15) In a bakery, 3/4
of all the cakes are two types: cheesecake and carrot cake. The cheesecakes make 2/5
of all the cakes. What fraction of all the cakes are carrot cakes?

Sagot :

Using proportions, it is found that the fraction of all the cakes are carrot cakes is of [tex]\frac{7}{20}[/tex].

What is a proportion?

A proportion is a fraction of a total amount.

In this problem, we have that:

  • 3/4 of the cakes are either cheesecakes or carrot cakes.
  • 2/5 of the cakes are cheesecakes.
  • The fraction corresponding to carrot cakes is x.

Hence:

[tex]\frac{2}{5} + x = \frac{3}{4}[/tex]

[tex]\frac{2 + 5x}{5} = \frac{3}{4}[/tex]

[tex]8 + 20x = 15[/tex]

[tex]20x = 7[/tex]

[tex]x = \frac{7}{20}[/tex]

The fraction of all the cakes are carrot cakes is of [tex]\frac{7}{20}[/tex].

More can be learned about proportions at https://brainly.com/question/24372153

Your engagement is important to us. Keep sharing your knowledge and experiences. Let's create a learning environment that is both enjoyable and beneficial. IDNLearn.com is committed to your satisfaction. Thank you for visiting, and see you next time for more helpful answers.