Question 672425
Let {{{ x }}} = amount invested @ 8%
{{{ 2x }}} = amount invested @ 9%
Let {{{ y }}} = amount invested @ 5%
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(1) {{{ x + 2x + y = 5500 }}}
(2) {{{ .08x + .09*(2x) + .05y = 449 }}}
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(1) {{{ 3x + y = 5500 }}}
(1) {{{ y = 5500 - 3x }}}
and
(2) {{{ .08x + .18x + .05y = 449 }}}
(2) {{{ .08x + .18x + .05*( 5500 - 3x ) = 449 }}}
(2) {{{ .26x + 275 - .15x = 449 }}}
(2) {{{ .11x = 449 - 275 }}}
(2) {{{ .11x = 174 }}}
(2) {{{ x = 1581.82 }}}
and
(1) {{{ y = 5500 - 3x }}}
(1) {{{ y = 5500 - 3*1581.82 }}}
(2) {{{ y = 5500 - 4745.45 }}}
(2) {{{ y = 754.55 }}}
$754.55 was invested @ 5%
check:
{{{ x = 1581.82 }}}
{{{ 2x = 3163.64}}}
{{{ 1581.82 + 3163.64 + 754.55 = 5500 }}}
{{{ 5500.01 = 5500 }}}
close enough
(2) {{{ .08x + .09*(2x) + .05y = 449 }}}
(2) {{{ .08*1581.82 + .09*3163.64+ .05*754.55 = 449 }}}
(2) {{{ 126.55 + 284.73 + 37.73 = 449 }}}
(2) {{{ 449.01 = 449 }}}
close enough