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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 2424 students. The number of females is 66 less than the number of males. How many males and how many females are in the class?\newlineNumber of males:\newlineNumber of females:

Full solution

Q. A Spanish class has a total of 2424 students. The number of females is 66 less than the number of males. How many males and how many females are in the class?\newlineNumber of males:\newlineNumber of females:
  1. Define Variables: Let's define the number of males as MM and the number of females as FF. We know the total number of students is 2424, and the number of females is 66 less than the number of males. So, we can write two equations:\newline11. M+F=24M + F = 24\newline22. F=M6F = M - 6
  2. Substitute and Simplify: Substitute the expression for FF from the second equation into the first equation: M+(M6)=24M + (M - 6) = 24
  3. Solve for M: Simplify and solve for M:\newline2M6=242M - 6 = 24\newline2M=24+62M = 24 + 6\newline2M=302M = 30\newlineM=302M = \frac{30}{2}\newlineM=15M = 15
  4. Substitute for F: Now, substitute M=15M = 15 back into the equation for F:\newlineF=M6F = M - 6\newlineF=156F = 15 - 6\newlineF=9F = 9

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