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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 not bored by cable news, then how many people at the convention are bored by cable news?

 Oct 21, 2023
 #1
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Hello turtlenob!

If there are 7 out of every 12 people who are bored by cable news, this means that 1 - 7/12 = 5/12 people who are not bored by cable news. If we call the total amount of people at the convention, x. Then 5/12 * x = 280. We get x = 672. Now we multiply 672 * 7/12 = 392 people who are bored by cable news.

 

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 Oct 22, 2023
 #2
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Since 7 out of every 12 people are bored by cable news, 5 out of every 12 people are not bored by cable news. This means that there are 5/12 * 280 = 116 people at the convention who are not bored by cable news. Therefore, there are 280 - 116 = 164 people at the convention who are bored by cable news. So the answer is 164

 Oct 25, 2023

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