Question 1129228
Let {{{P}}} = amount invested @ 2%
{{{ 6000 - P }}} = amount invested @ 4%
Let {{{ I }}} = interest earned from 2% account
{{{ 190 - I }}} = interest earned from 4% account
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(1) {{{ I = P*.02*1 }}}
(2) {{{ 190 - I = ( 6000 - P )*.04*1 }}}
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(2) {{{ 190 - I = 240 - .04P }}}
(2) {{{ .04P = I + 50 }}}
Plug (1) into (2)
(2) {{{ .04P = .02P + 50 }}}
(2) {{{ .02P = 50 }}}
(2) {{{ P = 2500 }}}
{{{ 6000 - P = 3500 }}}
and
(1) {{{ I = .02*2500 }}}
(1) {{{ I = 50 }}}
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check:
(2) {{{ 190 - 50 = ( 6000 - 2500 )*.04 }}}
(2) {{{ 140 = 3500*.04 }}}
(2) {{{ 140 = 140 }}}
OK