[Video] Q30: A survey asked a class of 30 students how many siblings they have. the number of students who have one sibling is 3 times the number of students, n, who have two or more siblings. if 6 students have no siblings, which of the following equations represents this situation?

Explanation for Question 30 From the Math (Calc) Section on the 2020 October Sat

So for question 30, it'll first be useful to think about what are our 2 options as far as having siblings. 3 And so we know that students can have those siblings, 4 they could have two or more siblings, or they could have exactly one sibling. 5 And so now we can go back into the question and figure out what 6 numbers go, where, and we can assign a value to each of these categories. 7 Now we know that six students have no siblings, 8 so a six goes here and then we know that three times the number 9 of students and who have two or more siblings. 10 Um, so this actually gives us two numbers, right? 11 The number of students who have two or more siblings is N and three 12 times N have one. So this is three. 13 And now when I add all of these numbers together, 14 right, I should get the total number of students, 15 which is 30. And so when I add all these together, 16 I got six plus and plus three and is equal to 30, 17 but I can combine like terms and I get six plus four and is 18 equal to 30. And that leaves us the answer choice C.

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