How much money the aristocrat spent?

Question

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?

Answer 1

let suppose in company there were x men and y women employee.
total employee is 3552 so
x + y= 3552
1/9 men and 1/12th women were present and each men got 45 $ and each women got 60 $.
so total spent money = (x/9) * 45 + (y/12) * 60
so total spent money = 5 * x + 5 * y = 5 * (x + y) =5 * 3552 = 17760

so the ans is 17760 $