Question 584953
Let {{{ a }}} = amount borrowed @ 7%
Let {{{ b }}} = amount borrowed @ 1.5%
given:
(1) {{{ .07a + .015b = 225 }}}
(2) {{{ a + b = 4000 }}}
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(1) {{{ 70a + 15b = 225000 }}}
(1) {{{ 14a + 3b = 45000 }}}
Multiply both sides of (2) by {{{3}}}
and subtract (2) from (1)
(1) {{{ 14a + 3b = 45000 }}}
(2) {{{ -3a - 3b = -12000 }}}
{{{ 11a = 33000 }}}
{{{ a = 3000 }}}
and
(2) {{{ 3000 + b = 4000 }}}
(2) {{{ b = 1000 }}}
$3,000 was borrowed @ 7%
$1,000 was borrowed @ 1.5%
check:
(1) {{{ .07a + .015b = 225 }}}
(1) {{{ .07*3000 + .015*1000 = 225 }}}
(1) {{{ 210 + 15 = 225 }}}
(1) {{{ 225 = 225 }}}
OK