Question 1062642
Let {{{ x }}} = the length of the shorter piece in meters
{{{ x + 10 }}} = the length of the longer piece in meters
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{{{ 5/6 = x/( x + 10 ) }}}
{{{ 5*( x + 10 ) = x*6 }}}
{{{ 5x + 50 = 6x }}}
{{{ x = 50 }}}
and
{{{ x+ 10 = 60 }}}
The shorter piece is 50 m
The longer piece is 60 m
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check:
{{{ 5/6 = 50/60 }}}
{{{ 5/6 = 5/6 }}}
OK