# How much money the aristocrat spent?

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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?

posted Nov 6, 2014

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 \$

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