[Video] Q24: For the finale of a tv show, viewers could use either social media or a text message to vote for their favorite of two contestants. the contestant receiving more than 50% of the vote won. an estimated 10% of the viewers voted, and 30% of the votes were cast on social media. contestant 2 earned 70% of the votes cast using social media and 40% of the votes cast using a text message. based on this information, which of the following is an accurate conclusion?

Answer Choices

  • If all viewers had voted, Contestant 2 would have won.

  • Viewers voting by social media were likely to be younger than viewers voting by text message.

  • If all viewers who voted had voted by social media instead of by text message, Contestant 2 would have won.

  • Viewers voting by social media were more likely to prefer Contestant 2 than were viewers voting by text message.

Explanation for Question 24 From the Math (Calc) Section on the Official Sat Practice Test 8

So let's look at question then number 24, 2 it tells us that for the finale of a TV show, 3 viewers are voting by social media or text message and a contestant needs 50% 4 of the votes to win. And then from here on out, 5 it gives us a lot of useful information, 6 right? And so rather than just reading it passively, 7 I'm going to read it. And I'm going to create a tree kind of 8 like a factor tree, but really a tree that kind of distributes our information 9 and creates it into a diagram that's actually really useful for us to use 10 as we solve this problem. And so we see an estimated 10% of the 11 viewers voted. So if we start with all of our viewers, 12 we know that 10% voted and then we have 13 90%, right? Cause the other 90% would make the a hundred percent didn't 14 vote. 15 So that's our first piece of info. And then it tells us, 16 and 30% of the votes were cast on social media. 17 So of the people who voted 30% were on social media. 18 So that means that 70% would have to be over text. 19 And then it goes on to tell us that contestant to earn 70% of 20 the votes on social media. So of the social media votes, 21 70% or for contestant too. 22 So that means that 30% would have to be for contestant one and 23 then 40% of the votes using text message. 24 So have all our text message voting 40% were for contestant too. 25 And that means that 60% would have to be for a contestant one. 26 And then we need to know which of the following is true. So now 27 we've diagrammed al...

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