Question 964674
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F=amount at 5%; S=amount at 6%
F+S=$600
F=$600-S
0.05F+0.06S=$34 Substitute for F
0.05($600-S)+0.06S=$34
$30-0.05S+0.06S=$34 Subtract $30 from each side.
0.01S=$4 Multiply each side by 100
S=$400 ANSWER 1: You should invest $400 at 6%.
F=$600-S=$600-$400=$200 ANSWER 2: You should invest $200 at 5%.
CHECK:
0.05F+0.06S=$34
0.05($200)+0.06($400)=$34
$10+$24=$34
$34=$34