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 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 we solve the equation for m

`2m-17=31`

`2m=31+17`

`2m=48`

`m=24`

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

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

Answer 2

24 males

7 females

Explanation:

Step 1: Write the data

Total number of students: 31

Number of males: x

Number of females: x - 17

Step 2: Form an equation

males + females = total students

x + x - 17 = 31

2x = 48

x = 24

There were 24 males

Step 3: Find the number of females

Number of females = x - 17

Number of females = 24 - 17

Number of females = 7

Therefore, there were 24 males and 7 females in the class.

!!