Question 1149483
For the 2 accounts
{{{ P }}} = amount invested in 4% account
{{{ 6000 - P }}} = amount invested in 7% account
{{{ I }}} = interest from 4% account
{{{ 375 - I }}} = interest from 7%
{{{ t }}} = 1 year
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For 4% account:
(1) {{{ I = P*.04*1 }}}
For 7% account:
(2) {{{ 375 - I = ( 6000 - P )*.07*1 }}}
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By substitution:
(2) {{{ 375 - .04P = 420 - .07P }}}
(2) {{{ .03P = 45 }}}
(2) {{{ P = 1500 }}}
and
{{{ 6000 - P = 6000 - 1500 }}}
{{{ 6000 - P = 4500 }}}
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$1,500 = amount invested in 4% account
$4,500 = amount invested in 7% account
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check:
(1) {{{ I = P*.04*1 }}}
(1) {{{ I = 1500*.04*1 }}}
(1) {{{ I = 60 }}}
and
(2) {{{ 375 - I = ( 6000 - P )*.07*1 }}}
(2) {{{ 375 - I = 4500*.07*1 }}}
(2) {{{ 375 - I = 315 }}}
(2) {{{ I = 60 }}}
OK