Question 666008
Let {{{ a }}} = number of videos bought
Let {{{ b }}} = number of CDs bought
given:
(1) {{{ 1495a + 1688b = 14227 }}} ( in cents )
(2) {{{ a + b = 9 }}}
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Multiply both sides of (2) by {{{ 1495 }}} and
subtract (2) from (1)
(1) {{{ 1495a + 1688b = 14227 }}} 
(2) {{{ -1495a - 1495b = -13455 }}}
{{{ 193b = 772 }}}
{{{ b = 4 }}}
and, since
(2) {{{ a + 4 = 9 }}}
(2) {{{ a = 5 }}}
She bought 5 videos and 4 CDs