SOLUTION: In class of 62 students, the number of females is one-less than twice the number of males. How many females, and how many males are there in the class?
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Question 328637: In class of 62 students, the number of females is one-less than twice the number of males. How many females, and how many males are there in the class? Answer by Earlsdon(6294) (Show Source):
You can put this solution on YOUR website! Let F = the number of females and M = the number of males.
1) F+M = 62 "In a class of 62 students,..."
2) F = 2M-1 "The number of females is one less than twice the number of males."
Rewrite equation 1) as:
1a) F = 62-M and substitute this for F in equation 2)
2a) 62-M = 2M-1 Add 1 to both sides.
2b) 63-M = 2M Add M to both sides.
2c) 63 = 3M Now divide both sides by 3.
2d) 21 = M Substitute this for M in equation 2).
2e) F = 2(21)-1 Simplify.
2f) F = 42-1
2g) F = 41
The number of males is 21 and the number of females is 41.
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