enigma123 wrote:

Of all the attendees at a dinner party, 40% were women. If each attendee arrived at a party either alone of with another attendee of the opposite sex, what percentage of the total number of attendees arrived at the party alone?

1. 50% of the male attendees arrived with a woman.

2. 25% of the attendes arriving alone were women.

This is how I am trying to solve this. Can someone please explain where I am getting it wrong ?

Considering statement 1

Solo Pairs Total

Men 30 30 60

Women 10 30 40

Total 40 60 100

If 30 men come in pairs then they have to be paired with 30 women. And therefore total people arrived solo are 40 and therefore this statement is sufficient.

Considering Statement 2 --> I am really struggling to solve this.

You got statement 1 so I will ignore that.

Statement 2: 25% of the attendes arriving alone were women.

To make calculations easier, lets assume that total number of people is 100. Then total number of women = 40 and total number of men = 60

Say, the number of alone women = x

Since this is 25% of total alone people, 3x is the number of alone men.

Now, total number of women with men = 40 - x

Then total number of men with women = 40 - x

(40-x)*2 + x + 3x = 100

x = 10

Women arriving alone = 10. men arriving alone = 30

% of people arriving alone = 40%

_________________

Karishma

Veritas Prep | GMAT Instructor

My Blog

Save $100 on Veritas Prep GMAT Courses And Admissions Consulting

Enroll now. Pay later. Take advantage of Veritas Prep's flexible payment plan options.

Veritas Prep Reviews