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Gallup poll asked Americans how many hours of sleep they usually get. The difference between the percent of adults who slept more than the recommended amount of time and the percent who slept less than the
recommended amount of time is 3%. In total, these groups make up 25% of the population. What percent of the population sleeps more than the recommended number of hours, and what percent sleeps less

Respuesta :

Using a system of equations, it is found that 14% of the population sleeps more than the recommended number of hours, and 11% sleeps less.

What is a system of equations?

  • A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this question, the variables are:

  • Variable x: Percentage of adults who slept more than the recommended amount of time.
  • Variable y: Percentage of adults who slept less than the recommended amount of time.

The difference is of 3%, hence:

[tex]x - y = 3 \rightarrow x = 3 + y[/tex]

In total, these groups make up 25% of the population, hence:

[tex]x + y = 25[/tex]

[tex]3 + y + y = 25[/tex]

[tex]2y = 22[/tex]

[tex]y = \frac{22}{2}[/tex]

[tex]y = 11[/tex]

[tex]x = 3 + y = 3 + 11 = 14[/tex]

14% of the population sleeps more than the recommended number of hours, and 11% sleeps less.

To learn more about system of equations, you can take a look at https://brainly.com/question/24342899

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