# SOLUTION: "If Ben invests \$4000 at 4% interest per year, how much additional money must he invest at 5 1/2% annual interest to ensure that the interest he receives each year is 4 1/2 % of th

Algebra ->  Algebra  -> Percentage-and-ratio-word-problems -> SOLUTION: "If Ben invests \$4000 at 4% interest per year, how much additional money must he invest at 5 1/2% annual interest to ensure that the interest he receives each year is 4 1/2 % of th      Log On

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 Question 50232: "If Ben invests \$4000 at 4% interest per year, how much additional money must he invest at 5 1/2% annual interest to ensure that the interest he receives each year is 4 1/2 % of the total amount invested?" I really just don't understand this question at all! I tried the (P)(R)(T) = I formula and am just stumped! Any help would be really appreciated! L.NytzAnswer by stanbon(57377)   (Show Source): You can put this solution on YOUR website!"If Ben invests \$4000 at 4% interest per year, how much additional money must he invest at 5 1/2% annual interest to ensure that the interest he receives each year is 4 1/2 % of the total amount invested?" ---------------- Let "x" be the amount of additional money he needs to invest. EQUATION: interest + interest = interest 0.04(4000) + 0.055x = 0.045(4000+x) 160 +0.055x = 180+0.045x 0.010x=20 x= \$2000 (amount of additional money he needs to inverst at 5 1/2 %) Cheers, Stan H.