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Let x be the amount he invests at 6%
1280 = 0.06x + 0.07(20000 - x)
1280 = 0.06x + 1400 - 0.07x
1280 - 1400 = -0.01x
-120 / -0.01 = x
x = 12000
Therefore, he invests $12,000 at 6% and $8,000 at 7%