High School

If 420 women at a conference comprise 40% of all the people at the conference, how many people are at the conference?

Answer :

Answer:

1050 people

Step-by-step explanation:

if there are x people at a conference

then 40% of x = 420

40% can be written as 40/100 --> 4/10 --> 2/5

2/5 * x = 420

x = 420 * 5/2

x = 1050

The total number of people at a conference based on the fact that 420 women make up 40% is 1050 as the total attendance.

If 420 women comprise 40% of all people at the conference, to find the total number of people at the conference, we need to first understand that 40% corresponds to the 420 women. Therefore, to find out what 100% would be (which is the total number of people at the conference), we divide the number of women by 0.4 (since 40% is the same as 0.4).

The calculation would look like this: 420 Ă· 0.4 which gives us 1050. This means there are 1050 people at the conference in total.