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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?

Respuesta :

vidalmari6p99qfk

Answer:

24 males 7 females

Step-by-step explanation:

m+(m-17) = 31

2m-17=31

2m=48

m=24     24 males

24-17=7

24+7=31

luisejr77

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:

[tex]f + m = 31[/tex]

We also know that:

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

[tex]f = m-17[/tex]

Now we substitute the second equation in the first

[tex]m-17 +m=31[/tex]

Now let's solve the equation for m

[tex]2m-17=31[/tex]

[tex]2m=31+17[/tex]

[tex]2m=48[/tex]

[tex]m=24[/tex]

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

[tex]f=24-17\\\\f=7[/tex]

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