Larry has an annual return of $213 from $3000 invested at simple interest, some at 5% and the rest at 8%. How much is invested at each rate?

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Larry has an annual return of $213 from $3000 invested at simple interest, some at 5% and the rest at 8%. How much is invested at each rate?

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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You can derive a system of equations from this. The two amounts will sum to the total, so: x + y = 3000 In addition, you know that x is invested at 0.05, y at 0.08, and that the interest from the two combined is 213, so: 0.05x + 0.08y = 213 Make sense?
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I dont understand whats the answer
That isn't the answer. However, that is a system of equations that will let you find the answer. You have to find x and y given those two equations.
shadowfiend basically gave you the answer you have to unknowns (variables) and two equations to solve them with. just substitute one equation into the other.

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