the ratio of male students to female students at a certain university is 4 to 7. if there is a total of 13,750 students, find the number of male students and the number of female students

Respuesta :

Answer: 5000 male students, 8750 female students

Step-by-step explanation:

To find the number of male and female students, we first need to determine the ratio's parts based on the total number of students.

Given that the ratio of male students to female students is 4 to 7, we can consider the total parts as 4 + 7 = 11.

Now, to find the number of male and female students, we can split the total number of students into parts according to the ratio:

  • For every 4 parts of males, there are 7 parts of females.
  • So, for every 11 parts, there are 4 parts of males and 7 parts of females.

Now, let's calculate:

  • Number of male students: [tex]\frac{4}{11}[/tex] · 13750 = 5000
  • Number of female students: [tex]\frac{7}{11}[/tex] · 13750 = 8750

There are 5000 male students and 8750 female students.

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