Question 108310
A-amount invested at 15%
B-anount invested at 14%
1.{{{A+B=10000}}}
2.{{{0.15A+0.14B=1430}}}
Use 1 to solve for A in terms of B.
1.{{{A+B=10000}}}
{{{A=10000-B}}}
Substitute that value into 2.
2.{{{0.15A+0.14B=1430}}}
{{{0.15(10000-B)+0.14B=1430}}}
{{{1500-0.15B+0.14B=1430}}}
{{{-0.01B=-70}}}
{{{B=7000}}}
From 1.
{{{A=10000-B}}}
{{{A=10000-7000}}}
{{{A=3000}}}
Verify your answer with 2.
2.{{{0.15A+0.14B=1430}}}
{{{0.15(3000)+0.14(7000)=1430}}}
{{{450+980=1430}}}
{{{1430=1430}}}
True statement. Good answer.
Lane invested $3000 at 15% and $7000 at 14%.