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Ms. Blackwell gives an exam to two classes. The mean of the scores of the students in the morning class is 84, and the afternoon class's mean score is 70. The ratio of the number of students in the morning class to the number of students in the 3 What is the mean of the scores of all the students? 4 afternoon class is (A) 74 (B) 75 (C) 76 (D) 77 (E) 78

Ms. Blackwell gives an exam to two classes. The mean of the scores of the students in the morning class is 84, and the afternoon class's mean score is 70. The ratio of the number of students in the morning class to the number of students in the 3 What is the mean of the scores of all the students? 4 afternoon class is (A) 74 (B) 75 (C) 76 (D) 77 (E) 78

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
Problem 13PPS
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Ms. Blackwell gives an exam to two classes. The mean of the scores of the students in the morning class is 84, and the afternoon class's mean score is 70. The ratio of the number of students in the morning class to the number of students in the 3 What is the mean of the scores of all the students? 4 afternoon class is (A) 74 (B) 75 (C) 76 (D) 77 (E) 78
Transcribed Image Text:Ms. Blackwell gives an exam to two classes. The mean of the scores of the students in the morning class is 84, and the afternoon class's mean score is 70. The ratio of the number of students in the morning class to the number of students in the 3 What is the mean of the scores of all the students? 4 afternoon class is (A) 74 (B) 75 (C) 76 (D) 77 (E) 78
Expert Solution
Step 1

Mean of the scores of the students in morning class is 84.

That is Mean=sum of scores of the students in the morning classTotal number of students in the morning class=84      ......... (1)

 

Mean of the scores of the students in afternoon class is 70.

That is Mean=sum of scores of the students in the afternoon classTotal number of students in the afternoon class=70     ......... (2)

 

The ratio of the number of students in morning class to the number of students in afternoon class is 34.

Let the number of students in morning class be 3x and number of students in afternoon class be 4x.

Then the total number of students is 3x+4x=7x.

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