2. in a class of 50 students, the number of females is 2 more than 5 times the number of males. How many males and females are there in the class?

Respuesta :

Answer:

There are 8 males in the class and 42 females.

Step-by-step explanation:

This question can be solved using a system of equations.

I am going to say that:

x is the number of females.

y is the number of males.

Class of 50 students

This means that [tex]x + y = 50[/tex]

The number of females is 2 more than 5 times the number of males.

This means that [tex]x = 5y + 2[/tex]

So, finding y, the number of males:

[tex]x + y = 50[/tex]

[tex]5y + 2 + y = 50[/tex]

[tex]6y = 48[/tex]

[tex]y = \frac{48}{6}[/tex]

[tex]y = 8[/tex]

Females:

[tex]x = 5y + 2 = 5*8 + 2 = 42[/tex]

There are 8 males in the class and 42 females.

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