Mr. Tom invested in Fund X and Fund Y. The total amount she invested, in both funds combined, was $100,000. In one year, Fund X paid 23% and Fund Y paid 17%. The interest earned in Fund Y was exactly $200 greater than the interest earned in Fund X. How much did Ms. Tom invest in Fund X? Choose the correct choice from the following answers
A) $32,000 B) $36,000 C) $42,000 D) $44,000 E) $45,000
X+Y=100,000   0.17Y=0.23A+200   Take away decimals first: 17Y=23X+20,000   Isolate first equation to solve for X (your goal): Y=100,000-Y   Plug in for B:   17(100,000-X)=23X+20,000   1,700,000-17X=23X+20,000   1,680,000=40X   1,680,000/40=X   X=42,000=Answer $42,000hoice $42,000
<result>C</result>
Mr. Tom invested in Fund X and Fund Y. The total amount she invested, in both funds combined, was $100,000. In one year, Fund X paid 23% and Fund Y paid 17%. The interest earned in Fund Y was exactly $200 greater than the interest earned in Fund X. How much did Ms. Tom invest in Fund X?