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

 May 17, 2023
 #1
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Hello,

If 7 out of every 12 people are bored by cable news and there are 280 people at the convention who are bored by cable news, we can set up a proportion to find the total number of people at the convention.

Let's represent the total number of people at the convention as "x".  TellHappyStar

The proportion can be set up as:

7/12 = 280/x

To solve for x, we can cross-multiply:

7x = 12 * 280

7x = 3360

Dividing both sides by 7:

x = 3360/7

x = 480

Therefore, there are 480 people at the convention who are not bored by cable news.

 May 17, 2023
 #2
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7 / 12 ==58.33% -of people who are bored by cable news

 

280 / (0.583333333...) ==480 people who are not bored by cable news.

 May 17, 2023

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