# SOLUTION: I need help with this word problem please. "An actor invests some money at 5% and \$27000 more than four times the amount at 11%. The total annual interest earned from the investmen

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 Click here to see ALL problems on Expressions-with-variables Question 293598: I need help with this word problem please. "An actor invests some money at 5% and \$27000 more than four times the amount at 11%. The total annual interest earned from the investment is \$36780. How much did he invest at each amount?" Thank you for anything you can do.Answer by nerdybill(7090)   (Show Source): You can put this solution on YOUR website!An actor invests some money at 5% and \$27000 more than four times the amount at 11%. The total annual interest earned from the investment is \$36780. How much did he invest at each amount? . Let x = amount invested at 5% then 4x+27000 = amount invested at 11% . .05x + .11(4x+27000) = 36780 .05x + .44x + 2970 = 36780 .49x + 2970 = 36780 .49x = 33810 x = \$69,000 (amount invested at 5%) . amount invested at 11%: 4x+27000 = 4(69000)+27000 = \$303,000