Question

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?

Answer 1

There are 8 males in the class and 42 females.

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
`x + y = 50`

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

This means that
`x = 5y + 2`

So, finding y, the number of males:

`x + y = 50`

`5y + 2 + y = 50`

`6y = 48`

`y = (48)/(6)`

`y = 8`

Females:

`x = 5y + 2 = 5*8 + 2 = 42`

There are 8 males in the class and 42 females.