Question 135270
Given: 3700 initial value. Part is invested at 7%, the rest at 9%. The resulting interest is 297.

Let x be that part of the initial value invested at 7%. Then (3700-x) is the part invested at 9%.

{{{x*0.07 + (3700-x)*0.09 = 297}}}
{{{0.07x + 333 - 0.09x = 297}}}
{{{-.02x + 333 = 297}}}
{{{ -0.02x = -36}}}
{{{1800 = x }}}
1800 is invested at 7%, 1900 at 9%

Check your answer. (1800*.07 + 1900*0.09) = 297 Check!