at a conference, 15% of the attendees were women. If 70 men attended the conference, how many were women?

0.85x = 70

x = 82

0.15 * 82 = ?

12.3

Let's round it to 12.

thank you.

You're welcome.

To solve this problem, we can start by finding the total number of conference attendees.

First, we need to determine what percentage of the attendees were women, which is given as 15%. To find the total number of conference attendees, we need to find what proportion 15% represents.

Percentage can be thought of as a fraction out of 100, so we can express 15% as a fraction by dividing it by 100: 15/100 or 0.15.

Next, let's assume that the total number of attendees is represented by "x." Since 0.15 of the attendees are women, we can calculate the number of women by multiplying the total number of attendees by this fraction: 0.15 * x.

According to the problem, there were 70 men attending the conference. Therefore, we can set up an equation to solve for "x":

0.15 * x + 70 = x

Now, let's solve the equation to find the total number of attendees:

0.15x + 70 = x

Subtract 0.15x from both sides of the equation to isolate the x term:

70 = 0.85x

Lastly, divide both sides of the equation by 0.85 to solve for x:

x = 70 / 0.85

Using a calculator, we find that x ≈ 82.35. Since the number of attendees cannot be a fraction, we can round this value to the nearest whole number. Therefore, the total number of conference attendees is approximately 82.

To find the number of women, we multiply the total number of attendees by the fraction representing the proportion of women:

0.15 * 82 ≈ 12.3

Rounding this value to the nearest whole number, we can conclude that about 12 women attended the conference.