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# Sam receives the following scores on his English tests: 63, 84, 96.

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Joined: 02 Sep 2009
Posts: 58449
Sam receives the following scores on his English tests: 63, 84, 96.  [#permalink]

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21 Feb 2019, 00:32
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Difficulty:

25% (medium)

Question Stats:

78% (01:28) correct 22% (01:30) wrong based on 23 sessions

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Sam receives the following scores on his English tests: 63, 84, 96. What average score does he need on the last two tests in order to maintain an 85 average?

A. 88
B. 91
C. 95
D. 98
E. 99

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Re: Sam receives the following scores on his English tests: 63, 84, 96.  [#permalink]

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21 Feb 2019, 03:59
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Bunuel wrote:
Sam receives the following scores on his English tests: 63, 84, 96. What average score does he need on the last two tests in order to maintain an 85 average?

A. 88
B. 91
C. 95
D. 98
E. 99

63, 84, 96 are short/surplus on 85 by {-22, -1, +11} respectively

i.e. current short in maintaining average = -22-1+11 = -12

So the score required in next two tests = 85*2 + 12 = 182

i.e. Average in next two tests = 182/2 = 91

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Re: Sam receives the following scores on his English tests: 63, 84, 96.  [#permalink]

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21 Feb 2019, 08:27
Bunuel wrote:
Sam receives the following scores on his English tests: 63, 84, 96. What average score does he need on the last two tests in order to maintain an 85 average?

A. 88
B. 91
C. 95
D. 98
E. 99

$$63 + 84 + 96 + n + n = 85*5$$

Or, $$2n + 243 = 425$$

Or, $$2n = 182$$

Or, $$n =91$$, Answer must be (B)
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Re: Sam receives the following scores on his English tests: 63, 84, 96.  [#permalink]

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21 Feb 2019, 09:54
Bunuel wrote:
Sam receives the following scores on his English tests: 63, 84, 96. What average score does he need on the last two tests in order to maintain an 85 average?

A. 88
B. 91
C. 95
D. 98
E. 99

sum of three scores= 243
243 + 2x = 85 * 5
x = 91
IMO B
Re: Sam receives the following scores on his English tests: 63, 84, 96.   [#permalink] 21 Feb 2019, 09:54
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