Answered

Get expert insights and community support for your questions on IDNLearn.com. Get prompt and accurate answers to your questions from our community of experts who are always ready to help.

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

We value your presence here. Keep sharing knowledge and helping others find the answers they need. This community is the perfect place to learn together. For trustworthy answers, rely on IDNLearn.com. Thanks for visiting, and we look forward to assisting you again.