$8,000 is invested in two different accounts earning 3% and 4% interest. If the two accounts earn a total of $295 in interest, how much money was invested at 3%? (idk wat the answer is)

Question

$8,000 is invested in two different accounts earning 3% and 4% interest. If the two accounts earn a total of $295 in interest, how much money was invested at 3%?  (idk wat the answer is)

anonymous · Answer

Let A be the amount invested at 3%, B the amount at 4%.
Total value:
1) A+B=8000
Interest:
0.03A+0.04B=295

2) 3A+4B=29500
Multiply eq. 1 by -3 and add to eq. 2,
-3A-3B+3A+4B=-24000+29500
B=5500
Then from eq. 1,
A+5500=8000
A=8000-5500
A=2500

anonymous · Answer

thx @cutepochacco