[Video] Q5: At lincoln high school, approximately 7 percent of enrolled juniors and 5 percent of enrolled seniors were inducted into the national honor society last year. if there were 562 juniors and 602 seniors enrolled at lincoln high school last year, which of the following is closest to the total number of juniors and seniors at lincoln high school last year who were inducted into the national honor society?

Answer Choices

  • 140

  • 69

  • 39

  • 30

Explanation for Question 5 From the Math (Calc) Section on the Official Sat Practice Test 3

So number five tells us the at Lincoln high school, 2 approximately 7% of enrolled juniors and 5% 3 of enrolled seniors are inducted into the national honor society. 4 And then it tells us that there were 562 juniors and 602 juniors 5 in a rolled at the school that last year. 6 And so we want to know now the total number of juniors and seniors 7 that were inducted into the honor society, right? 8 So we have 7% and 5%. 9 And whenever you're using that percent defined, 10 actual numbers, right, where you're going to actually be getting the numbers that you're 11 working with, you always want to convert it to a decimal. 12 So in this case, that would be 0.07 and then 0.05 13 for the seniors. Right. You take your percent and you divide it by 100. 14 Right? And so now we're looking at, and we see, okay, 15 0.07 times juniors, 16 plus 0.05 times. 17 Seniors gives me the total. And so now we see, 18 okay, I need to be multiplying the percent decimal times the number. 19 And luckily they gave us those numbers, right. 20 They told us 562 juniors. 21 So you have 0.07 times 562 plus 0.05 22 times. The number of seniors, which was 6 0 2 and that's our total. 23 And so this is just something that you plug into your calculator to get 24 the number four. So you'd plug in 0.07 times 5 62 25 plus 0.05 times 6 0 2. 26 And that gives you 69.44. 27 Right? But you can't have 0.4, four of a person. 28 So we round down to 69 and our best answer then is going to 29 be B.

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