In a survey of parents, exactly 5/6 of the mothers and 3/4 of the fathers held full-time jobs. If 40 percent of the parents surveyed were women, what percent of the parents did not hold full-time jobs?
Choose the correct option:
A) 10 %
B) 12 %
C) 15 %
D) 18 %
E) 22 %

Rationale: "fathers without full - time jobs are 1 / 4 * 3 / 5 = 3 / 20 of all the parents surveyed . mothers without full - time jobs are 1 / 6 * 2 / 5 = 1 / 15 of all the parents surveyed . the percent of parents without full - time jobs is 3 / 20 + 1 / 15 = 13 / 60 which is about 22 % the answer is e ."
Answer: E