# SOLUTION: An actor invests some money at 9%, and \$32000 more than twice the amount at 12%. The total annual interest earned from the investment is \$23640. How much did he invest at each amou

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 Click here to see ALL problems on Money Word Problems Question 176564: An actor invests some money at 9%, and \$32000 more than twice the amount at 12%. The total annual interest earned from the investment is \$23640. How much did he invest at each amount? Use the six- step method. Please do this step by step so I can see how you got each number.Answer by Mathtut(3670)   (Show Source): You can put this solution on YOUR website!ok what we are after is amounts invested at 9% and at 12%. Lets call those x and y respectively : We are given that y=2x+32000. So lets write our equation, Lets write it verbally first. (The amount invested) at (x times its interest rate) + (the amount invested) at (y times its interest rate) will give us(equals) the total annual interest earned. : so we have x amount investe at 9% y=2x+32000...eq 1 : .09x+.12y=23640...eq 2 : take y's value from eq 1 and plug it into eq 2 : .09x+.12(2x+32000)=23640 : .09x+.24x+3840=23640 : .33x=19800 : \$amount invested at 9% : \$amount invested at 12%