Sharon learned a total of 8 appetizer recipes over the course of 4 weeks of culinary school. After how many weeks of culinary school will Sharon know a total of 10 appetizer recipes? Assume the relationship is directly proportional.

Respuesta :

After 5 weeks, Sharon will know a total of 10 appetizer recipes.

Step-by-step explanation:

Given,

Recipes learned in 4 weeks = 8

Ratio of recipes to weeks = 8:4

Let,

x represents the number of weeks for 10 recipes to be learned.

Ratio of recipes to weeks = 10:x

As the relation is proportional, therefore;

Ratio of recipes to weeks :: Ratio of recipes to weeks

[tex]8:4::10:x[/tex]

Product of extreme = Product of mean

[tex]8*x=4*10\\8x=40[/tex]

Dividing both sides by 8

[tex]\frac{8x}{8}=\frac{40}{8}\\x=5[/tex]

After 5 weeks, Sharon will know a total of 10 appetizer recipes.

Keywords: ratio, proportion

Learn more about proportions at:

  • brainly.com/question/10541435
  • brainly.com/question/10666510

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Answer:

on ixl its 20

Step-by-step explanation: