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A Spanish class has 28 a total of students. The number of females is 4 less than the number of males. How many males and how many females are in the class?

Respuesta :

cdw2014
Let's use F for the number of females and M for the number of males. We can express the situation with the following system of equations:

F + M = 28

F = M - 4

Now we can solve for M by substitution. In the first equation, replace F with (M - 4):

(M - 4) + M = 28

Combine like terms and solve for M:

2M - 4 = 28

2M = 32

M = 16

If there are 16 males, we can solve for the number of females by plugging 16 back into one of the equations:

F = 16 - 4 = 12

There are 16 males and 12 females.
kanest
Use the following equations to find the amount of males and females in the class:

[tex]x + y = 28[/tex]

[tex]x = y + 4[/tex]

x represents the males in the class, and y represents the females in the class.

Because x = y + 4, we can substitute x in the first equation:

[tex]x = y + 4[/tex]
[tex]y + 4 + y = 28[/tex]

Combine like terms.

[tex]2y + 4 = 28[/tex]

Subtract 4 from both sides.

[tex]2y = 24[/tex]

Divide both sides by 2 to get y by itself.

[tex]y = 12[/tex]

Because we know what y is, we can plug in its value into the first equation:

[tex]x + 12 = 28[/tex]

Subtract 12 from both sides to get x by itself.

[tex]x = 16[/tex]

There are 16 males and 12 females in the class.

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