Question 1096059
Initially, each camper got {{{ 60/x }}} cookies
The 8 campers who did not want cookies
got a total of {{{ 8*( 60/x ) = 480/x }}} cookies
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I can say:
{{{ ( 60/x + 2 )*( x - 8 ) = 60 }}}
{{{ 60 + 2x - 480/x - 16 = 60 }}}
{{{ 2x - 480/x = 16 }}}
{{{ 2x^2 - 480 = 16x }}}
{{{ 2x^2 - 16x - 480 = 0 }}}
{{{ x^2 - 8x - 240 = 0 }}}
{{{ ( x - 20 )*( x + 12 ) = 0 }}}  ( by looking at it )
{{{ x = 20 }}} ( can't use the negative result )
There were 20 campers
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check answer:
{{{ 60/x = 60/20 }}}
{{{ 60/x = 3 }}}
Each got 3 cookies
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8 campers did not want cookies, which is
{{{ 3*8 = 24 }}} cookies, which get divided
among {{{ 20 - 8 = 12 }}} campers
{{{ 24/12 = 2 }}} cookies more for the 12
other campers
OK