SOLUTION: Lane invested $10,000, part at 15% and part at 14%. If the total interest at the end of the year is $1,430, how much did she invest at 15%?

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Question 108310: Lane invested $10,000, part at 15% and part at 14%.
If the total interest at the end of the year is $1,430,
how much did she invest at 15%?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
A-amount invested at 15%
B-anount invested at 14%
1.A%2BB=10000
2.0.15A%2B0.14B=1430
Use 1 to solve for A in terms of B.
1.A%2BB=10000
A=10000-B
Substitute that value into 2.
2.0.15A%2B0.14B=1430
0.15%2810000-B%29%2B0.14B=1430
1500-0.15B%2B0.14B=1430
-0.01B=-70
B=7000
From 1.
A=10000-B
A=10000-7000
A=3000
Verify your answer with 2.
2.0.15A%2B0.14B=1430
0.15%283000%29%2B0.14%287000%29=1430
450%2B980=1430
1430=1430
True statement. Good answer.
Lane invested $3000 at 15% and $7000 at 14%.