Question 1112196
I assume simple interest
{{{ I = P*r*t }}}
Let {{{ P }}} = amount loaned @7%
{{{ 130000 - P }}} = amount loaned @ 19%
Let {{{ I }}} = interest earned by 7% loan
{{{ 9850 - I }}} = interest earned by 19% loan
--------------------------------------------
For 7% loan:
(1) {{{ I = P*.07*1 }}}
For 19% loan:
(2) {{{ 9850 - I = ( 130000 - P )*.19*1 }}}
----------------------------------------
Plug (1) into (2)
(2) {{{ 9850 - .07P = 24700 - .19P }}}
(2) {{{ .12P = 14850 }}}
(2) {{{ P = 123750 }}}
and
{{{ 130000 - P = 130000 - 123750 }}}
{{{ 130000 - P = 6250 }}}
-------------------------------------------
$123,750 was loaned @7%
$6,250 as loaned @ 19%
-----------------------------------
check:
(1) {{{ I = .07P }}}
(1) {{{ I = .07*123750 }}}
(1) {{{ I = 8662.5 }}}
and
(2) {{{ 9850 - I = ( 130000 - P )*.19 }}}
(2) {{{ 9850 - I = ( 130000 - 123750 )*.19 }}}
(2) {{{ 9850 - I = 6250*.19 }}}
(2) {{{ 9850 - I = 1187.5 }}}
(2) {{{ I = 8662.5 }}}
OK