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lys-0071 [83]
3 years ago
6

Prof Liu gave the same quiz to the students in her morning class and in her afternoon class. the average score for the two class

es combined was 84. which class had more students ?(1) The average score for the students in the morning class was 80(2) the average score for the students in the afternoon class was 86
Mathematics
1 answer:
Paraphin [41]3 years ago
3 0

Answer:

The number of students is more in afternoon class.

Step-by-step explanation:

The average marks for the two classes combined = 84

  • Average marks for the morning class, avg1 = 80
  • Average marks for afternoon class, avg2 = 86

The final average marks would be shifted more towards the average marks of the class with more number of students.

This is because the formula for final mean is

                                = \frac{avg1 \times number of morning students + avg2 \times number of afternoon students}{total number of students}

<u>Since final mean 84 is closer to average of class 2 which is 86, hence the number of students is more in afternoon class.</u>

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Ishaan is 222 times as old as Christopher. 353535 years ago, Ishaan was 777 times as old as Christopher.
klemol [59]
<h3><u>Question:</u></h3>

Ishaan is 2 times as old as Christopher. 35 years ago, Ishaan was 7 times as old as Christopher. How old is Christoper now?

<h3><u>Answer:</u></h3>

The present age of Christoper is 42 years old

<h3><u>Solution:</u></h3>

Given that Ishaan is 2 times as old as Christoper

Let the present age of Christoper be "x"

Then, Present age of Ishaan = 2 times as old as Christoper

present age of Ishaan = 2x

<em><u>35 years ago, Ishaan was 7 times as old as Christopher</u></em>

Age of Ishaan 35 years ago = Present age of Ishaan - 35

Age of Ishaan 35 years ago = 2x - 35

Similarly,

Age of christoper 35 years ago = Present age of christoper - 35

Age of christoper 35 years ago = x - 35

From given statement, 35 years ago, Ishaan was 7 times as old as Christopher

Age of Ishaan 35 years ago = 7 times the age of Christoper 35 years ago

(2x - 35) = 7(x - 35)

<em><u>Solve the above equation for "x"</u></em>

2x - 35 = 7x - 245

2x - 7x = -245 + 35

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<h3>x = 42</h3>

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