There are 3/5 as many men as women in the hall. 2/3 of the men and 1/5 of the women wear formal dress. What is the ratio of the people in the hall who do not wear formal dress to the total number of people in the hall ?
Answers
Answer
let the women be x
so the men are 3x/5
therefore total people in hall = x+3x/5 = 8x/5
now men who not wear formal dress = 1/3*3x/5 =3x/15
now women who not wear formal dress = 4/5*x =4x/5
total people not wearing formal dress = 3x/15+4x/5 =15x/15 = 1x = 5x/5
therefore ratio of the people in the hall who do not wear formal dress to the total number of people in the hall = 5x/5:8x/5 = 5:8
5 : 8 is the ratio of the people in the hall who do not wear formal dress to the total number of people in the hall
Step-by-step explanation:
Let say there are 5W Women in hall
There are 3/5 as many men as women in the hall
=> Men in Hall = (3/5)5W = 3W
Total People in Hall = 5W + 3W = 8W
2/3 of the men and 1/5 of the women wear formal dress
(2/3) of Men = (2/3)3W = 2W
(1/5) of Women = (1/5)5W = W
People wearing formal dress = 2W + W = 3W
People not wearing formal Dress = 8W - 3W = 5W
ratio of the people in the hall who do not wear formal dress to the total number of people in the hall = 5W : 8W
= 5 : 8
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