SOLUTION: I don't understand where the 3x comes from in this equation:. 12x + .07(25000 - 3x) + .06(2x) = 1945 .12x - (.21x) + .12x = 1945 - 1750 .03x= 195 x = $6500, amount at 12% 2x =

Algebra ->  Customizable Word Problem Solvers  -> Finance -> SOLUTION: I don't understand where the 3x comes from in this equation:. 12x + .07(25000 - 3x) + .06(2x) = 1945 .12x - (.21x) + .12x = 1945 - 1750 .03x= 195 x = $6500, amount at 12% 2x =      Log On

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Question 928730: I don't understand where the 3x comes from in this equation:.
12x + .07(25000 - 3x) + .06(2x) = 1945
.12x - (.21x) + .12x = 1945 - 1750
.03x= 195
x = $6500, amount at 12%
2x = $13,000, amount at 6%
25000-3%2A6500%29 = $5,500, amount at 7%
And..checking
Sum = $25,000
Original problem: Bradley has $25,000 that he wants to invest. He invests it in accounts paying 12%, 7%, and 6% simple interest. The account paying 12% is higher-risk account, so he wants the amount in that account to be half of the amount he has in the account paying 6% simple interest. If his annual interest is $1945, how much is invested at each rate?

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
12x + .07(25000 - 3x) + .06(2x) = 1945
.12x - (.21x) + .12x = 1945 - 1750
.24x+-+.21x+=+.03x
.03x= 195
x = $6500, amount at 12%
2x = $13,000, amount at 6%
25000-3%2A6500%29 = $5,500, amount at 7%
And..checking
Sum = $25,000
Original problem: