Work out the number of people in the office.

In an office there are twice as many females as males. 1/4 of the females wear glasses. 3/8 of the males wear glasses. 84 people in the office wear glasses. Work out the number of people in the office.Let the number of male be X, and the number of female therefore be 2X.1/4 of the females wear glasses, this means 2X * 1/4 female wear glasses.3/8 of the males wear glasses, this means X * 3/8 male wear glasses.84 people in the office wear glasses, so we can form the equation:2X * 1/4 + X * 3/8 = 841/2 X + 3/8 X =847/8 X = 84X = 96total number of people in the room: male + female = X+ 2X = 3XSo the total number of people in the office is 3*96 = 288