SOLUTION: An actor invests some money at 9% and 31000more than three times the amount at 10% the total annual interest earned from the investment is 24940 how much did he invest at each amo

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Question 1161441: An actor invests some money at 9% and 31000more than three times the amount at 10% the total annual interest earned from the investment is 24940 how much did he invest at each amount
Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


let x = amount invested at 9%
then 3x+31000 = amount invested at 10%

interest from investment at 9% = .09(x)
interest from investment at 10% = .10(3x+31000)

The total interest was 24940:

.09x%2B.10%283x%2B31000%29+=+24940

Solve using basic algebra....