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# An archer’s score is calculated by the formula , where b is

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Retired Moderator
Joined: 07 Jun 2014
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An archer’s score is calculated by the formula , where b is [#permalink]  27 Jul 2018, 07:10
Expert's post
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Question Stats:

80% (01:45) correct 19% (02:13) wrong based on 31 sessions
An archer’s score is calculated by the formula $$\frac{50b-10a}{10+s}$$, where b is the number of bull’s-eyes hit, a is the total number of arrows shot, and s is the time in seconds it took the archer to shoot. By how many points would an archer who took 10 seconds to shoot 10 arrows and hit all bull’s-eyes beat an archer who shot twice as many arrows and hit half as many bull’s-eyes in 15 seconds?

(A) 2
(B) 7
(C) 10
(D) 18
(E) 20
[Reveal] Spoiler: OA

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Retired Moderator
Joined: 07 Jun 2014
Posts: 4803
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 173

Kudos [?]: 2977 [0], given: 394

Re: An archer’s score is calculated by the formula , where b is [#permalink]  12 Aug 2018, 05:25
Expert's post
Explanation

Calculate each of the archer’s scores by plugging in the appropriate values for b, a, and s.

For the first archer, b = a = s = 10 and the score is $$\frac{50 \times 10 -10 \times 10}{10+10}=\frac{400}{20}=20$$.

For the second archer, b = half of 10 = 5, a = twice as many as 10 = 20, and s = 15.

The score for the second archer is $$\frac{50 \times 5 -10 \times 20}{10+15}=\frac{50}{25}=2$$. The difference in scores is 20 – 2 = 18.
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Re: An archer’s score is calculated by the formula , where b is [#permalink]  06 Jul 2019, 00:07
sandy wrote:
An archer’s score is calculated by the formula $$\frac{50b-10a}{10+s}$$, where b is the number of bull’s-eyes hit, a is the total number of arrows shot, and s is the time in seconds it took the archer to shoot. By how many points would an archer who took 10 seconds to shoot 10 arrows and hit all bull’s-eyes beat an archer who shot twice as many arrows and hit half as many bull’s-eyes in 15 seconds?

(A) 2
(B) 7
(C) 10
(D) 18
(E) 20

Any other way to solve this?--Not the answer from Manhattan 5lb
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Re: An archer’s score is calculated by the formula , where b is [#permalink]  16 Feb 2020, 08:41
Any other way to solve this?--Not the answer from Manhattan 5lb
GRE Instructor
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Re: An archer’s score is calculated by the formula , where b is [#permalink]  17 Feb 2020, 06:25
1
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Expert's post
huda wrote:
Any other way to solve this?--Not the answer from Manhattan 5lb

I'm getting the same answer (18)
It's possible the textbook made a mistake.

Cheers,
Brent
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Re: An archer’s score is calculated by the formula , where b is [#permalink]  19 Jul 2020, 11:15
How did you know guys that b= 10 for the first archer?
Re: An archer’s score is calculated by the formula , where b is   [#permalink] 19 Jul 2020, 11:15
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