Question 360035
Let x = total number of students in class.
Then 0.70x = # of men in the class. But also x -24= # of men in the class, so
{{{0.70x = x-24}}},or
{{{24 = 0.30x}}}, or
{{{x = 80}}}.  Therefore there are 80 - 24 = 56 men in the class.

ALTERNATE SOLUTION:
Let m = # men in the class.
Then {{{m/0.70}}} = total number of students in the class.
This implies that {{{m/0.70 - m = 24}}}, (Total number of students - number of men = number of women in the class.)
{{{(m - 0.70m)/0.70 = 24}}},
{{{0.30m = 16.8}}},
{{{m = 56}}}, the number of men in the class.