Question 424851
Let {{{a}}} = amount invested @ 5%
Let {{{b}}} = amount invested @ 11%
given:
(1) {{{a + b = 170000}}}
(2) {{{ .05a + .11b = 15700 }}}
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Multiply both sides of (2) by {{{100}}}
Multiply both sides of (1) by {{{5}}}
and subtract (1) from (2)
(2) {{{ 5a + 11b = 1570000 }}}
(1) {{{ -5a - 5b = -850000 }}}
{{{ 6b = 720000 }}}
{{{ b = 120000 }}}
and, since
(1) {{{a + 120000 = 170000}}}
{{{a = 50000 }}}
$50,000 = amount invested @ 5%
$120,000 = amount invested @ 11%