A rich aristocrat decided that he would give every man $45 and every woman $60.
Only one ninth of the men and only one twelfth of the women collected their dues.
Can you tell me how much money the aristocrat spent if there were 3552 people in total?
__________
$17,760.
If there are x men, then there are (3552 - x) women. Thus one ninth of the men (= x / 9) received $45 and one twelve of the women (= (3552 - x) / 12) received $60. So the total recevied is 45 * x / 9 + 60 * (3552 - x) / 12, the x cancels leaving 5 * 3552 = 17,760.
