# uga

Peter has money in two savings accounts. One rate is 9% and the other is 11%. If he has \$200 more in the 11% account and the total interest is \$68, how much is invested in each savings account?

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1. Let x represent mount at 9%
Let x + 200 represent amount at 11%
Total interest earned is 68\$
0.09x + 0.11 (x + 200) = 68
0.09x + 0.11x + 22 = 68
0.2x + 22 = 68
0.2x + 22 - 22 = 68 - 22
0.2x = 46
0.2x / 0.2 = 46 / 0.2
x = \$230 is amount at 9%
Amount at 11%= 230 + 200 = \$430

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