Question 1030065
Let {{{ a }}} = amount invested in fund A
Let {{{ b }}} = amount invested in fund B
{{{ .08a }}} = profit from fund A
{{{ .05b }}} = profit from fund B
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(1) {{{ a = 2b }}}
(2) {{{ .08a + .05b = 2520 }}}
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(2) {{{ 8a + 5b = 252000 }}}
Substitute (1) into (2)
(2) {{{ 8*2b + 5b = 252000 }}}
(2) {{{ 21b = 252000 }}}
(2) {{{ b = 12000 }}}
and
(1) {{{ a = 2b }}}
(1) {{{ a = 2*12000 }}}
(1) {{{ a = 24000 }}}
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She invested $12,000 in fund B
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check:
(2) {{{ .08a + .05b = 2520 }}}
(2) {{{ .08*24000 + .05*12000 = 2520 }}}
(2) {{{ 1920 + 600 = 2520 }}}
(2) {{{ 2520 = 2520 }}}
OK