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Problem 34

# A basketball player has made 24 points out of 30 free throws. She hopes to make all her next free throws until her free-throw percentage is 85 or better. How many consecutive free throws will she have to make?

## Discussion

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## Video Transcript

okay on this question, it says that a basketball player has made 24 points out of 30 free throws. She hopes to make all of her next free throws. So X will be the number of free throats until her three free throw percentage is 85 were better. How many consecutive free throws will she have to make? Okay, so we know that if she wants to make more free throws, however, many of those she makes, whatever we asked the top, we have to add to the total number of throws total number off throws. Now, in this case, it says that we want her have make, um ah, percentage of 85 or better. It's less equal It t 85 out of hundreds. At this point, we can cross multiply, so we get 124 plus acts equals 85 30 plus x. Yeah, this is a very algebraic way of doing it. But again, a lot of times, these questions are not conducive to a kind of trial and error on kind of method. Okay, so at this point, we're gonna distribute 2400 plus 100 axe equals and now you want to do? 85 multiplied by 30 which is 2550 plus 85 acts. Okay, so again, we're distributing. Okay, at this point, let's solve this. We're going to bring the 85 X over to the left side 85 x 85 x. Okay. I'm gonna bring you to the next page, so we're gonna have 20. 400 2400 plus 15 x is equal to +2550 2400 plus 15 x 2400 plus 15. Axe is equal to 2550 on from here. We're just gonna solve. Subtract the 2400. So track 2400. So 15 X is equal to 100 50 and X is equal to Ted, so she would need 10 free throws.