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

Answer:

24 males and 7 females

Step-by-step 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

Answer:

24 males

7 females

Step-by-step 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.

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