Question 838999
First, convert {{{ 720 }}} minutes to hours
( minutes ) x ( hours/minute ) = hours
{{{ 720*( 1/60 ) = 12 }}} hrs
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Let {{{ x }}} = her time in hours spent on pieces per week
{{{ 12 - x }}} = her time in hours spent on scales per week
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{{{ 5/3 = x/( 12 - x ) }}}
Multiply both sides by {{{ 3*( 12 - x ) }}}
{{{ 5*( 12 - x ) = 3x }}}
{{{ 60 - 5x = 3x }}}
{{{ 8x = 60 }}}
{{{ x = 7.5 }}}
{{{ 12 - 7.5 = 4.5 }}}
She spends 7 1/2 hours per week on pieces
She spends 4 1/2 hours per week on scales
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check:
{{{ 5/3 = x/( 12 - x ) }}}
{{{ 5/3 = 7.5/4.5 }}}
{{{ 5*4.5 = 7.5*3 }}}
{{{ 22.5 = 22.5 }}}
OK