<PRE><B>Question 424866</B>
Let {{{a}}} = shares of HP she holds
Let {{{b}}} = shares of Intel she holds
given:
(1) {{{ 30a + 70b = 16000 }}}
(2) {{{ 1.5*30a + 3*70b = 34500 }}}
----------------------------
(2) {{{ 45a + 210b = 34500 }}}
(2) {{{ 3a + 14b = 2300 }}}
Multiply both sides of (2) by {{{10}}}
and subtract (1) from (2)
(2) {{{ 30a + 140b = 23000 }}}
(1) {{{ -30a - 70b = -16000 }}}
{{{ 70b = 7000 }}}
{{{b = 100 }}}
and
(2) {{{ 3a + 14*100 = 2300 }}}
(2) {{{ 3a = 2300 - 1400 }}}
(2) {{{ 3a = 900 }}}
{{{ a = 300 }}}
300 shares of HP 
100 shares of Intel </PRE>