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Aaron’s first three quiz scores were 75, 84, and 82. If his

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sandy
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Aaron’s first three quiz scores were 75, 84, and 82. If his [#permalink] New post   29 Aug 2018, 16:26
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Aaron’s first three quiz scores were 75, 84, and 82. If his score on the fourth quiz reduced his average (arithmetic mean) quiz score to 74, what was his score on the fourth quiz?

Show: :: OA
55
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Arc29
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Re: Aaron’s first three quiz scores were 75, 84, and 82. If his [#permalink] New post   31 Aug 2018, 22:05
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Answer is 55.
Since the sum of the first three is 241
Thus
241+x/3 = 74
which gives x=55
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Re: Aaron’s first three quiz scores were 75, 84, and 82. If his [#permalink] New post   19 Dec 2020, 12:41
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Average for the first three tests is = ( 75 + 84 + 82) / 3 = 241/3 = 80.33

average reduced = 80.33 - 74 = 6.33

Number for fourth test = 80.33 - 6.33 X 4 = 80.33 - 25.33= 55
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Re: Aaron’s first three quiz scores were 75, 84, and 82. If his [#permalink] New post   21 Feb 2021, 19:32
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Arc29 wrote:
Answer is 55.
Since the sum of the first three is 241
Thus
241+x/3 = 74
which gives x=55

It should be 241+X/4=74

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Aaron’s first three quiz scores were 75, 84, and 82. If his [#permalink] New post   21 Feb 2021, 19:58
1
Scores = 75 , 84 , 82
Sum of scores = 75+84+82 = 241

Now it is given that after adding the fourth quiz score the average reduced to 74

Let's take score of 4th quiz = x

Average = 74 = \(\frac{241+x}{4}\)

x = 55

Rajdas wrote:
Arc29 wrote:
Answer is 55.
Since the sum of the first three is 241
Thus
241+x/3 = 74
which gives x=55

It should be 241+X/4=74

Posted from my mobile device
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Harshi95
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Re: Aaron’s first three quiz scores were 75, 84, and 82. If his [#permalink] New post   22 Feb 2021, 02:20
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The new average is 74.
therefore the mark scored in the last test- 75+84+82+X/ 4 =74

241+x/4= 74
x= (74*4)-241
x=55
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Re: Aaron’s first three quiz scores were 75, 84, and 82. If his [#permalink] New post   22 Feb 2021, 09:39
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sandy wrote:
Aaron’s first three quiz scores were 75, 84, and 82. If his score on the fourth quiz reduced his average (arithmetic mean) quiz score to 74, what was his score on the fourth quiz?

Show: :: OA
55


Another Approach:

Since the average on 4 tests is 74
Let us see the difference between the overall average and each score

\(75 - 74 = 1\)
\(84 - 74 = 10\)
\(82 - 74 = 8\)

i.e. he has 19 surplus of 74, so we must subtract it from 74
\(74 - 19 = 55\)
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