Question

Rhianna invests $1200 in stock and bonds. The stock pays 9% interest and the bonds pay 6% interest. If the total ANNUAL interest is $96, how much is invested in the stock alone?

Answer 1

\[.09x + .06y = 9\]
\[x + y = 1200\]
\[x = -y + 1200\]
\[.09(-y + 1200) + .06y = 96\]
\[-.09y + 108 + .06y = 96\]
\[-.03y = -12\]
\[y = 400\]
\[x + 400 = 1200\]
\[x = 800\]