Question 1015581
Let {{{ a }}} = amount invested @ 6%
Let {{{ b }}} = amount invested @ 2%
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(1) {{{ a + b = 22000 }}}
(2) {{{ .06a + .02b = 1120 }}}
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(2) {{{ 6a + 2b = 112000 }}}
(2) {{{ 3a + b = 56000 }}}
Subtract (1) from (2)
(2) {{{ 3a + b = 56000 }}}
(1) {{{ -a - b = -22000 }}}
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{{{ 2a = 34000 }}}
{{{ a = 17000 }}}
and
(1) {{{ a + b = 22000 }}}
(1) {{{ 17000 + b = 22000 }}}
(1) {{{ b = 5000 }}}
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$17,000 is invested @ 6%
$5,000 is invested @ 2%
check:
(2) {{{ .06a + .02b = 1120 }}}
(2) {{{ .06*17000 + .02*5000 = 1120 }}}
(2) {{{ 1020 + 100 = 1120 }}}
(2) {{{ 1120 = 1120 }}}
OK