Beth is planning on investing her $1,600 bonus, putting some in an account earning 6% and the rest in an account earning 8%. How much should she put in each to have a total of $104 interest

Let x = the amount Beth invests in the account earning 6%. The remainder, that's $1600 - x, is invested in the account earnig 8%.

You can express the sum of the earnings of theses two investments as:

0.06(x)+0.08(1600-x) and this is to equal $ 104. The equation you need for solving for x is:

0.06x+0.08(1600-x) = 104 Simplify.

0.06x+128-0.08x = 104 Combine like-terms.

-0.02x+128 = 104 Subtract 128 from both sides.

-0.02x = -24 Finally, divide both sides by -0.02

x = 1200

Beth needs to invest $1200 in the 6% account and (1600-1200) $400 in the 8% account to earn a total of $104.

Explanation:

i might look it up later.

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