# SOLUTION: Janet invested \$27,000, part at 15% and part at 9%. If the total interest at the end of the year is \$3,390, how much did she invest at 15%?

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 Click here to see ALL problems on Miscellaneous Word Problems Question 258797: Janet invested \$27,000, part at 15% and part at 9%. If the total interest at the end of the year is \$3,390, how much did she invest at 15%? Answer by stanbon(57224)   (Show Source): You can put this solution on YOUR website!Janet invested \$27,000, part at 15% and part at 9%. If the total interest at the end of the year is \$3,390, how much did she invest at 15%? --------------------- Using two variables: Equations: Quantity Equation: x + y = 27000 Interest Equation:0.15x + 0.09y = 3390 ---------------------------------------- Multiply thru the 1st equation by 9 Multiply thru the 2nd equation by 100 ----- 9x + 9y = 9*27000 15x+ 9y = 339000 ------------------------ Subtract the 1st from the 2nd and solve for "x": 6x = 96000 x = \$16,000 (amt. invested at 15 % ------------------------------ Cheers, Stan H.