At a math convention, a poll is taken about cable news. It turns out that 7 out of every 12 people are bored by cable news. If there are 280 people at the convention who are bored by cable news, then how many people at the convention are not bored by cable news?

Answer 1

We can start the problem by using the ratio of people who are bored by cable news to the total number of people at the convention. The ratio is 7/12, which means that for every 12 people at the convention, 7 of them are bored by cable news.

To find out the total number of people at the convention who are bored by cable news, we can set up a proportion:

7/12 = 280/x

where x is the total number of people at the convention.

To solve for x, we can cross-multiply:

7x = 12 * 280

7x = 3360

x = 480

So there are 480 people at the convention in total. To find out how many of them are not bored by cable news, we can subtract the number of people who are bored from the total:

480 - 280 = 200

Therefore, there are 200 people at the convention who are not bored by cable news.