Question 1033508
She gives {{{ 20 }}} to friends
She has {{{ x - 20 }}} left
{{{ (1/3)*( x - 20 ) = (1/5)*x }}}
Multiply both sides by {{{ 15 }}}
{{{ 5*( x - 20 ) = 3x }}}
{{{ 5x - 100 = 3x }}}
{{{ 2x = 100 }}}
{{{ x = 50 }}}
There were originally 50 sweets
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check:
{{{ (1/3)*( x - 20 ) = (1/5)*x }}}
{{{ (1/3)*( 50 - 20 ) = (1/5)*50 }}}
{{{ ( 1/3 )*30 = (1/5)*50 }}}
{{{ 10 = 10 }}}
OK