# 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?

Nov 27, 2016

21 males, 41 females

#### Explanation:

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:
$f = 2 m - 1$

Substitute 2nd equation into 1st equation:
$m + \left(2 m - 1\right) = 62$

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

Substitute $m = 21$ into the second equation:
$f = 2 \left(21\right) - 1$
$f = 42 - 1$
$f = 41$