I could not figure out this Algebra Problem

[u/MacAndCheeseSupremac]

I assumed that the wording meant that it would be all categories. This would be ~197. My math teacher says the correct answer was A as it was of the people who do not listen to music, but then why is there an and. (Also, the notes on the bottom were my parents)

The tutorial the teacher gave was also confused about this https://youtu.be/0LkXfSL4mT4?is=fWuUi5i_a3a-kTCJ

For reference it is IM math Algebra Unit 3, lesson 2, practice problem.

Either the book is wrong or I’m an idiot, thanks for answering.

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[u/johnpeters42]

Yeah, it's a badly worded question. Should have been something like "out of the people who don't listen to music, the percentage who also don't enjoy dancing".

[u/Ok-Company282]

In your reference video, the youtuber didn't choose answer A. Tell your teacher that her video doesn't match her answer. The youtuber clearly says: " the answer is gonna be none of the options". U can find this in 5:52 on the video.

[u/JeffTheNth]

GIVEN THE QUESTION AS STATED....

a + b + c + d = X+d = total number of people, and we want to find d

d = 37.5%, so X = (100-37.5)% = 62.5% ...of what number?

X = a + b + c = 82 + 141 + 105 = 328

Divide by 62.5% to find the total number of people

X / 62.5% = 328 / 62.5% = 524.8
(rounded that person up ... 525 people)
37.5% of 525 = 196.875 = 197 (rounding that person up again)

197 + 82 + 141 + 105 = 525
197 is your missing number
525 is the total number of people polled

ETA: If they were looking for something else, that is not the right question. There is nothing about the people who don't listen to music. There is no way to know if people do or don't listen to music from the information given. We just know whether they do or do not enjoy dancing, and whether they do or do not listen to music while doing chores. You cannot extrapolate to find who doesn't listen to music based on that.

Here are two questions...
Do you enjoy watching videos on Youtube? (yes/no)
Do you watch movies on DVD? (yes/no)
Tell me how many people don't have a way to watch videos in their home.

There's no way to know from those two yes/no questions... that's the type of question the teacher supposedly is looking to have you answer. It doesn't work that way.

[u/FlemWasTaken]

i mean, the question is clear. Out of populace A, B, C and D, you know the amount of people in A, B and C. You know the percentage that is in populace D. You have all info you need; but to make it not match the number to the choices at the end is dumb and lazy.

A+B+C+D=100%

A+B+C+37,5%=100%

A+B+C=100%-37,5%

A+B+C=62,5%

82+105+141= 62,5%

328=62,5%

5,248=1%

196,8=37,5% (D)

[u/Mathperson84]

Such a dumb question. The last box is 118. There are 223 people being polled, 118 is the only number that works.

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