Question 1136712
Let {{{ P[1] }}} = amount invested @ 5%
{{{ 10000 - P[1] }}} = amount invested @ 6%
Let {{{ I[1] }}} = interest from 5% investment
{{{ 560 - I[1] }}} = interest from 6% investment
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(1) {{{ I[1] = P[1]*.05 *1 }}}
(2) {{{ 560 - I[1] = ( 10000 - P[1] )*.06*1 }}}
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(1) {{{ I[1] = .05P[1] }}}
(2) {{{ 560 - I[1] = 600 - .06P[1] }}}
(2) {{{ I[1] = .06P[1] - 40 }}}
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Plug (1) into (2)
(2) {{{ .05P[1] = .06P[1] - 40 }}}
(2) {{{ .01P[1] = 40 }}}
(2) {{{ P[1] = 4000 }}}
and
{{{ 10000 - P[1] = 10000 - 4000 }}}
{{{ 10000 - P[1] = 6000 }}}
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$4,000 was invested @ 5%
$6,000 was invested @ 6%
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check:
(1) {{{ I[1] = .05P[1] }}}
(1) {{{ I[1] = .05*4000 }}}
(1) {{{ I[1] = 200 }}}
and
(2) {{{ 560 - I[1] = .06*6000 }}}
(2) {{{ 560 - I[1] = 360 }}}
(2) {{{ 200 + 360 = 560 }}}
OK