En un 9no grado, la asignatura de matematicas la han aprobado el 62.5% de las alumnas y el 80% de los alumnos, mientras quela asignatura de historia la han aprobado 87.5% de las alumnas y el 60% de los alumnos. Calcular el numero de alumnas y alumnos que hay en el aula, si el total de aprobados es 26 en ambas asignaturas

16 female students and 20 male students

Step-by-step explanation:

What we must do is propose a system of 2x2 equations that we can do in the statement,

If "x" is the number of female students and "y" of male students, then:

in math class:

0.625 * x + 0.8 * y = 26

history class:

0.875 * x + 0.6 * y = 26

if we solve for x, we are left with:

x = (26 - 0.6 * y) / 0.875

now replacing in the math class equation, we are left with:

0.625 * (26 - 0.6 * y) / 0.875 + 0.8 * y = 26

18.57 - 0.43 * y - 0.8 * y = 26

0.8 * y - 0.43 * y = 26 - 18.57

0.37 * y = 7.43

y = 20.08

now for x:

x = (26 - 0.6 * 20.08) / 0.875

x = 15.94

That is, they are 16 female students and 20 male students