A man invests $6000 in two accounts. The first account pays 5% simple interest and the second pays 8.5% simple interest. Together the investments earn $370 per year. How much of the $6000 is invested at 5%?

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A man invests $6000 in two accounts. The first account pays 5% simple interest and the second pays 8.5% simple interest. Together the investments earn $370 per year. How much of the $6000 is invested at 5%?

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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let A be the amount invested at 1st account and B amount invested in 2nd account. now we have equations: (1) A+B=6000 [because sums invested in both account is $6000] (2) (5/100)*A + (8.5/100)*B = 370 [because he earn $370 from both accounts] solve the equations, substitute B from (1) into (2), you can get A. which is the anwer required.

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