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Functions, Lines, and Systems
Solving a word problem involving a sum and another basic relationship...
A Spanish class has a total of 24 students. The number of females is 6 less than the number of males. How many males and how many females are in the class?
Number of males:
Number of females:

A Spanish class has a total of $24$ students. The number of females is $6$ less than the number of males. How many males and how many females are in the class? $\newline$ Number of males: $\newline$ Number of females:

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Interpret confidence intervals for population means

Full solution

Q. A Spanish class has a total of

24

students. The number of females is

6

less than the number of males. How many males and how many females are in the class?

\newline

Number of males:

\newline

Number of females:

Define Variables: Let's define the number of males as $M$ and the number of females as $F$ . We know the total number of students is $24$ , and the number of females is $6$ less than the number of males. So, we can write two equations: $\newline$ $1$ . $M + F = 24$ $\newline$ $2$ . $F = M - 6$
Substitute and Simplify: Substitute the expression for $F$ from the second equation into the first equation: $M + (M - 6) = 24$
Solve for M: Simplify and solve for M: $\newline$ $2M - 6 = 24$ $\newline$ $2M = 24 + 6$ $\newline$ $2M = 30$ $\newline$ $M = \frac{30}{2}$ $\newline$ $M = 15$
Substitute for F: Now, substitute $M = 15$ back into the equation for F: $\newline$ $F = M - 6$ $\newline$ $F = 15 - 6$ $\newline$ $F = 9$

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