Question

A drama class has a total of 31 Students. the number of females is 17 less than the number of males. How many males and how many females are in the class?

Answer 1

24 males 7 females

Explanation:

m+(m-17) = 31

2m-17=31

2m=48

m=24 24 males

24-17=7

24+7=31

Answer 2

24 males and 7 females

Explanation:

Let's call f the number of women

Let's call m the number of men

We know that:

The drama class has a total of 31 Students

This is:

`f + m = 31`

We also know that:

The number of females is 17 less than the number of males. This is:

`f = m-17`

Now we substitute the second equation in the first

`m-17 +m=31`

Now let's solve the equation for m

`2m-17=31`

`2m=31+17`

`2m=48`

`m=24`

Now we substitute m in the equation and solve for f.

`f=24-17\\\\f=7`