SOLUTION: $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%? multiple choic

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Question 397651: $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%?
multiple choice answers:A:$2,500
B:$3,500
C:$5,500
Found 2 solutions by 90887896, Fombitz:
Answer by 90887896(4) About Me  (Show Source):
Answer by Fombitz(32388) About Me  (Show Source):
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Let A be the amount invested at 3%, B the amount at 4%.
Total value:
1.A%2BB=8000
Interest:
0.03A%2B0.04B=295
2.3A%2B4B=29500
Multiply eq. 1 by -3 and add to eq. 2,
-3A-3B%2B3A%2B4B=-24000%2B29500
highlight%28B=5500%29
Then from eq. 1,
A%2B5500=8000
highlight%28A=2500%29