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Three students were given three tests, the results of the first two te
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26 Dec 2014, 08:46
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Tough and Tricky questions: Word Problems. Three students were given three tests, the results of the first two tests are shown above. Their scores on Test 3 were 34, 44, and x respectively. What is the value of x if the average total score of the three students is 109? A. 31 B. 32 C. 33 D. 34 E. 44 Kudos for a correct solution.Attachment:
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Re: Three students were given three tests, the results of the first two te
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26 Dec 2014, 09:18
The Average of all three students in the three exams is 109, so the total number of points scored by all three students is 3 * 109 = 327. Summing all 8 Test results we have given in the table and the question stem gives us 294. (30 + 50 + 34) + (40 + 54 + 44) + (14 + 28 + x) = 294 + x = 327 => x = 33 Answer C
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Re: Three students were given three tests, the results of the first two te
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26 Dec 2014, 17:55
Bunuel wrote: Tough and Tricky questions: Word Problems. Three students were given three tests, the results of the first two tests are shown above. Their scores on Test 3 were 34, 44, and x respectively. What is the value of x if the average total score of the three students is 109? A. 31 B. 32 C. 33 D. 34 E. 44 Kudos for a correct solution.Attachment: 20141226_1946.png Average = 109 Total score = 109 * 3 = 327 Total Score = 30 + 40 + 14 + 50 + 54 + 28 + 34 + 44 + x = 327 => 294 + x = 327 => x = 33 Ans C
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Re: Three students were given three tests, the results of the first two te
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31 Dec 2014, 21:41
Answer = C. 33 Refer diagram below: Attachment:
20141226_1946.png [ 15.59 KiB  Viewed 2238 times ]
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Re: Three students were given three tests, the results of the first two te
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08 Jan 2015, 09:08
Bunuel wrote: Tough and Tricky questions: Word Problems. Three students were given three tests, the results of the first two tests are shown above. Their scores on Test 3 were 34, 44, and x respectively. What is the value of x if the average total score of the three students is 109? A. 31 B. 32 C. 33 D. 34 E. 44 Kudos for a correct solution.Attachment: 20141226_1946.png OFFICIAL SOLUTION:С) The total scores of the students are: 30 + 50 + 34 = 114 40 + 54 + 44 = 138 14 + 28 + x = 42 + x The average total score is (114 + 138 + 42 + x)/3 = 109. 294 + x = 327 x = 33 The correct answer is C.
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Re: Three students were given three tests, the results of the first two te
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03 Jun 2017, 08:31
\(\frac{( 30 + 50 + 34 ) + ( 40 + 54 + 44 ) + ( 14 + 28 + x )}{3} = 109\) Or, \(294 + x = 327\) Or, \(x = 33\) Thus, answer must be (C) 33
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Re: Three students were given three tests, the results of the first two te
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14 Sep 2018, 09:04
Bunuel wrote: Tough and Tricky questions: Word Problems. Three students were given three tests, the results of the first two tests are shown above. Their scores on Test 3 were 34, 44, and x respectively. What is the value of x if the average total score of the three students is 109? A. 31 B. 32 C. 33 D. 34 E. 44 We can use the average equation: average = sum / quantity The sum of the scores of student 1 is 30 + 50 + 34 = 114, the sum of the scores of student 2 is 40 + 54 + 44 = 138, and the sum of scores of student 3 is 14 + 28 + x = 42 + x; thus: (114 + 138 + 42 + x)/3 = 109 294 + x = 327 x = 33 Answer: C
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Re: Three students were given three tests, the results of the first two te
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15 Sep 2018, 14:03
Bunuel wrote: Tough and Tricky questions: Word Problems. Three students were given three tests, the results of the first two tests are shown above. Their scores on Test 3 were 34, 44, and x respectively. What is the value of x if the average total score of the three students is 109? A. 31 B. 32 C. 33 D. 34 E. 44 Kudos for a correct solution.Attachment: 20141226_1946.png add the total score for test1 and test two respectively, which are, 84,132. we know the total score of last test=78+x.
total marks in all three tests=294+x.
also we know that the avg is 109. so the total marks in all three test for all students is 109*3=327.
327294=33.Option C




Re: Three students were given three tests, the results of the first two te
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