Question 1129559
Let {{{ P }}} = amount invested @ 8%
{{{ 2P }} = amount invested @ 5%
Let {{{ I }}} = amount of interest from 8% account
{{{ 1944 - I }}} = amount of interest from 5% account
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(1) {{{ I = P*.08*1 }}}
(2) {{{ 1944 - I = 2P*.05*1 }}}
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(1) {{{ I = .08P }}}
(2) {{{ 1944 - I = .1P }}}
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Plug (1) into (2)
(2) {{{ 1944 - .08P = .1P }}}
(2) {{{ .18P = 1944 }}}
(2) {{{ P = 10800 }}}
and
{{{ 2P = 21600 }}}
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$21,600 @ 5%
$10,800 @ 8%
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check:
(1) {{{ I = .08P }}}
(1) {{{ I = .08*10800 }}}
(1) {{{ I = 864 }}}
and
(2) {{{ 1944 - I = .1P }}}
(2) {{{ 1944 - I = .1*10800 }}}
(2) {{{ I = 1944 - 1080 }}}
(2) {{{ I = 864 }}}
OK