A woman invested $1,000, part at 5% and the rest at 6%. Her total investment with interest at the end of the year was $1,056. How much did she invest at 5%?
Options.
A) $500
B) $400
C) $700
D) $900
E) $950
et x be the portion invested at 5% and   Let (1-x) be the rest which is invested at 6%   The question states that the return after 1 year is (1056/1000)-1 = 0.053 = 5.3%   We want to find the dollar amount invested in X   Using our defined variables, put together the equation and solve for x (the percentage of 1000 invested at 5%)   0.05x+0.06(1-x)= 0.056   (0.05)x +0.06 - (0.06)x = 0.056   -0.01x = -0.004   x= -0.004/-0.01 = 4/10 = 40%   So X = 40% of the 1000 which is 400   ANSWER:$400
<result>B</result>
A woman invested $1,000, part at 5% and the rest at 6%. Her total investment with interest at the end of the year was $1,056. How much did she invest at 5%?