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?

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.
RELATED QUESTIONS
In a class of 62 students, the number of females is one less than twice the number of... (answered by checkley75)

in a class of students the number of females is one less than twice the number of... (answered by fractalier)

in a class of 74 students.the number of females is one fewer than twice the number of... (answered by jorel1380)

In a class of 74 students, the number of females is one fewer than twice the number of... (answered by checkley77)

In a class of 44 students, the number of females is one fewer than twice the number of... (answered by rfer)

In a class of 74 students, the number of females is one fewer than twice the number of... (answered by Susmitha)

In a class of 65 students, the number of females is one fewer than twice the number of... (answered by stanbon)

in a class of 32 students the number of males is 2 more than twice the number of females. (answered by rfer)

In a class of 48 students, the number of males is 72 less than 2 times the number of... (answered by rfer)