Question 703152
Let {{{ n }}} = total number of students
given:
{{{ (1/4)*n + (1/3)*n + (1/6)*n + 24 = n }}}
Multiply both sides by {{{ 12 }}}
{{{ 3n + 4n + 2n + 288 = 12n }}}
{{{ 12n - 9n = 288 }}}
{{{ 3n = 288 }}}
{{{ n = 96 }}}
There are 96 students
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check:
{{{ (1/4)*96 = 24 }}}
{{{ (1/3)*96 = 32 }}}
{{{ (1/6)*96 = 16 }}}
{{{ 24 + 32 + 16 + 24 = 96 }}}
{{{ 96 = 96 }}}
OK