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If25 students in one class had an average of 93% and 20 sludents from another class had an average of* 98%, approximately what is the average percent of all 45 stud...

Question

If25 students in one class had an average of 93% and 20 sludents from another class had an average of* 98%, approximately what is the average percent of all 45 students?

If25 students in one class had an average of 93% and 20 sludents from another class had an average of* 98%, approximately what is the average percent of all 45 students?



Answers

There are 25 students in Mrs. Wang's first period
algebra class. On Monday, five students were absent
and the other 20 students took a test. The average
grade for those students was $86 .$ The next day after
the five absent students took the test, the class average
was $88 .$ What was the average of those five students'
grades?
$$\begin{array}{ll}{\text { (A) }} & {90} \\ {\text { (B) }} & {92} \\ {\text { (C) }} & {94} \\ {\text { (D) } 96}\end{array}$$

This question asked, What is the percentage or rank of a score of 93? What? We knows that we're looking for the number of test scores greater than 93 out of 100. We know there's nine test scores greater. Therefore, we're gonna be dividing this by 100 because it's out of 100 which gives us 9%.

So Ms Gillis gave a test to her two classes of algebra. Mean grade for her class of 20 students was 86. So let's write this out. The mean grade of her class of 20 students was 86. She calculated this in the following manner. She added up all the grades of her students, and I'm gonna call that a the summer. Hold the grades and she divided it by 20 students. Right? That's how you get to me. And that was 86 According to Ms Gillis, all right, and the mean grade of her class of 15 students was 79. So out of the same procedure, she took the sum of all the grades of her other class, which is what's a B, and she divided it by 15 and that was equal to 79. What's the mean grade when she combines the grades of both classes? All right, so combining the greens of both classes basically means you're going to take your A, which is the sum of all the grades of your first class and B, which is the sum of the greats of the second class, and you're going to divide it by how many students are in both of class combined, which is 20. Post team is 35. So what you're doing is a plus B divided by 35. So this is the total average of both of the classes, and we want to find out what this is equal to school. But for that we need A and B, which we have, because if we divide, this is expression here by If we multiply this expression by 20 we get a equals 86 times 20. And if we do the same thing here, we get B equals 79 times 15. And so this expert here would be equal to 1720 and be would be equal to 1185. And so now we just plugged those in to our formal here, and we have 1720 +1185 divided by 35 equals Our answer the mean grade when she combined the grades of both classes. And that should be equal to 83

So now we have the full of versatile Tim. 94 plus 86 plus 84 last 90 several and ah found five. The thieves exam. We assume that s ass X average Sony Teoh derided by five. And then we need it. You larger than where you chose to 90 So we can street can modifiable side by five. And then we have 94 plus every six last 84 Class 97 that he goes to a 361 Last access larger than recalls to for 100 and 30. So ax here as Eco's too 81 So caused the Maximo s Hendry so last in my Hendry So he needs at less 89 for the

Okay. So let's assume the scores on the final result merrily should get ah Is X. So she can get overall average of at least 92. Okay. So we have that Average of quizzes is 90 And any contest one test grade sometimes one. And we have our final X. M. Is X. Final exam result is X. And it counts as 2.5 past grids. Mhm. Okay. So overall she takes 3.5 tests and that We want it to be greater or equal to 92. So let's solve it. Mm We have 90 plus 2.5 X. Is greater or equals two. Yeah, So 92 times 3.5 equals two. 322. Okay, so we want to .5 accidents where to it goes to 232 X. Is squared. Really close to 92.8. Okay. So merrily it should um Have at least 92.8. Yeah. Of our final exam. So she would get an overall average of 92 or greater.


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