# SOLUTION: How can \$58,000 be invested, part at 10% annual simple interest and the remainder at 8% annual simple interest, so that the interest earned by the two accounts will be equal. Pl

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 Question 342109: How can \$58,000 be invested, part at 10% annual simple interest and the remainder at 8% annual simple interest, so that the interest earned by the two accounts will be equal. Please help. I can set up the equation if the total annual simple interest earned for 1 year was given, but this one is a little over my head.Answer by checkley77(12569)   (Show Source): You can put this solution on YOUR website!Set up an equation with the unknown amount (x) @ 10% = (58,000-x) amount @ 8%. .10x=.08(58,000-x) .10x=4,640-.08x .10x+.08x=4,640 .18x=4,640 x=4,640/.18 x=25,777.78 amount invested @ 10%. 58,000-25,777.77=32,222.23 amount invested @ 8%. Proof: .10*25,777.77=.08*32,222.23 2,577.77=2,577.77