Question 978188
At the start:
{{{ A = 50 }}}
{{{ B = 50 }}}
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Let {{{ x }}} = the amount in kg removed from bag B
{{{ 3x }}} is the amount rmoved from A
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{{{ A - 3x = (1/2)*( B - x ) }}}
{{{ 50 - 3x = (1/2)*( 50 - x ) }}}
{{{ 2*( 50 - 3x ) = 50 - x }}}
{{{ 100 - 6x = 50 - x }}}
{{{ 5x = 50 }}}
{{{ x = 10 }}}
and
{{{ 3x = 30 }}}
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{{{ A - 3x = 50 - 30 }}}
{{{ 50 - 30 = 20 }}} kg left in bag A
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{{{ B - x = 50 - 10 }}}
{{{ 50 - 10 = 40 }}} kg left in bag B
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check answers:
{{{ 50 - 3x = (1/2)*( 50 - x ) }}}
{{{ 50 - 30 = (1/2)*( 50 - 10 ) }}}
{{{ 20 = (1/2)*40 }}}
{{{ 20 = 20 }}}
OK