In a class of 62 students the number of females is one less than twice the number of males. How many males and females are in the room?

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Answer 1 · 2016-11-27T21:26:22

21 males, 41 females

Let #m=# the number of males.
Let #f=# the number of females.

Create 2 equations, with 2 variables:

1st equation:
#m+f=62#

2nd equation:
#f=2m-1#

Substitute 2nd equation into 1st equation:
#m+(2m-1)=62#

Solve for m:
#3m-1=62#
#3m=63#
#m=21#

Substitute #m=21# into the second equation:
#f=2(21)-1#
#f=42-1#
#f=41#