En un 9no grado, la asignatura de matemáticas la han aprobado el 62.5% de las alumnas y el 80% de los alumnos, mientras que la 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

In the classroom there are 16 girls and 20 boys

Step-by-step explanation:

The question in English is

In the ninth grade, 62.5% of girls and 80% of boys passed the mathematics course, while 87.5% of girls and 60% of boys passed the history course. Calculate the number of students in the classroom, if the total number of passes is 26 in both subjects

Let

x ----> total girls in the classroom

y ---> total boys in the classroom

we know that

mathematics course

-----> equation A

history course

----> equation B

Solve the system of equations by graphing

Remember that the solution is the intersection point both graphs

using a graphing tool

The solution is the point (16,20)

see the attached figure

therefore

In the classroom there are 16 girls and 20 boys

g = (2, 2)

step-by-step explanation:

given the ratio is 1 : 1 then f is the midpoint of eg

let the coordinates of g = (x, y)

using the midpoint formula

(0 + x) = 1 ( multiply both sides by 2 )

0 + x = 2 ⇒ x = 2

similarly

(4 + y) = 3 ( multiply both sides by 2 )

4 + y = 6 ( subtract 4 from both sides )

y = 2

coordinates of g = (2, 2)

a - base

b - exponent

so,