Question 397996
If the 6% loan was for {{{x}}} dollars, and
the 9% loan was for {{{y}}} dollars, then
(1) {{{x + y = 12000}}}
(2) {{{.06x + .09y = 855}}} (after 1 year)
(2) {{{6x + 9y = 85500}}}
Multiply both sides of (1) by {{{6}}}, then
subtract (1) from (2)
(2) {{{6x + 9y = 85500}}}
(1) {{{-6x - 6y = 72000}}}
{{{3y = 13500}}}
{{{y = 4500}}}
and, from (1),
{{{x + 4500 = 12000}}}
{{{x = 7500}}}
The 6% loan was for $7500, and
the 9% loan was for $4500