Ms. Harris invested in Fund X and Fund B. The total amount she invested, in both funds combined, was $100,000. In one year, Fund X paid 23% and Fund B paid 17%. The interest earned in Fund B was exactly $200 greater than the interest earned in Fund X. How much did Ms. Morris invest in Fund X?  Options:  A) $32,000  B) $36,000  C) $40,000  D) $42,000  E) $45,000
0.17B-0.23X = 200 | * 100   17B-23X=20,000   X+B=100,000   B=100,000 - X   17(100,000 - X) - 23X = 20,000   1,700,000 - 17X - 23X = 20,000   1,680,000 = 40X   divide by 40   first two digits: 42...so answer is $42,000.
<result>D</result>
Ms. Harris invested in Fund X and Fund B. The total amount she invested, in both funds combined, was $100,000. In one year, Fund X paid 23% and Fund B paid 17%. The interest earned in Fund B was exactly $200 greater than the interest earned in Fund X. How much did Ms. Morris invest in Fund X?