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schepotkina [342]
3 years ago
14

En un salon de una academia solo asisten a un examen los 3/4 de los alumnos y de estos aprueban los 4/5 ; si los desaprobados so

n 21 ¿cuantos alumnos hay en dicha aula?
Mathematics
1 answer:
saveliy_v [14]3 years ago
5 0

Answer:

Hay 140 alumnos en dicha aula.

Step-by-step explanation:

Primero, debes encontrar la cantidad de alumnos que aprobaron que corresponde a 4/5 usando una regla de tres teniendo en cuenta que sabes que 1/5 corresponde a 21 que son los estudiantes que no aprobaron:

1/5  → 21

4/5 →  x

x=(4/5*21)/1/5

x=(84/5)/(1/5)

x=84*5/5*1

x=420/5

x=84

Ahora, puedes sumar el número de estudiantes que aprobaron con el número de estudiantes que no aprobaron para encontrar el total que estudiantes que asistieron al examen:

84+21=105

Después, dado que sabes que 105 estudiantes corresponde a 3/4 de los alumnos en un aula, puedes usar una regla de tres para encontrar el número de estudiantes en el aula:

3/4 → 105

1     →   x

x=(1*105)/(3/4)

x=(105/1)/(3/4)

x=105*4/1*3

x=420/3

x=140

De acuerdo a esto, la respuesta es que hay 140 alumnos en dicha aula.

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