# Math help?

Sam invested $2150, part of it at 6 percent and the rest at 8 percent yearly interest. The yearly income on the 8 percent investment was $22 more than twice the income from the 6 percent investment. How much did he invest at each rate?

investment at 6 percent

investment at 8 percent

### 1 Answer

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- Mike GLv 710 months ago
Let x be the amount invested at 6%

Interest accrued at 6% = 0.06*x

Interest accrued at 8% = 0.08*(2150-x)

0.08*(2150-x) = 0.12x+22

150 = 0.2x

x = 750

$750 at 6%

$1400 at 8%

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