Question 1097356
Let {{{ x }}} = number of pairs sold before discount
{{{ 340 - x }}} = number of pairs sold after discount
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{{{ 150x + .7*150*( 340 - x ) = 45600 }}}
{{{ 150x + 105*( 340 - x ) = 45600 }}}
{{{ 150x + 35700 - 105x = 45600 }}}
{{{ 45x = 9900 }}}
{{{ x = 220 }}}
220 pairs were sold before discount was applied
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check:
{{{ 340 - x = 340 - 220 }}}
{{{ 340 - x = 120 }}}
and
{{{ 150x + 105*( 340 - x ) = 45600 }}}
{{{ 150*220 + 105*120 = 45600 }}}
{{{ 33000 + 12600 = 45600 }}}
{{{ 45600 = 45600 }}}
OK