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a drama class has a total of 33 students the number of male is 13 more than the number of females how many males and how many females are in a class​

User Eshirima
by
6.7k points

2 Answers

4 votes

Answer:

10 Females

23 Males

Explanation:

First, lets write two equations based on the question:

M+F=33 - "a total of 33 students"

M=F+13 - "number of male is 13 more than the number of females"

1) Now, lets substitute F+13 as M in our first equation: (M+F=33):

F+13+F=33

2) Combine alike terms:

2F+13=33

3) Subtract 13 from both sides:

2F=20

4) Divide both sides by 2:

F=10

5) Now we need to substitute 10 as the variable F in our second equation: (M=F+13):

M=10+13

6) Solve:

M=23

User Jon Ander
by
5.9k points
4 votes

Good evening ,

Answer:

23 males students

10 females students

Explanation:

Let m represent the number of males students

Let f represent the number of females students

then, 33 = m + f

then, 33 = (f+13) + f

then, 33 = 2f + 13

then, 20 = 2f

then, f = 10

finally, m = 10 + 13 = 23.

____________________________________

:)

User Tamir Scherzer
by
6.2k points