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An archer’s score is calculated by the formula , where b is
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sandy
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An archer’s score is calculated by the formula , where b is [#permalink] New post  27 Jul 2018, 07:10
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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
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sandy
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Re: An archer’s score is calculated by the formula , where b is [#permalink] New post  12 Aug 2018, 05:25
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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] New post  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] New post  16 Feb 2020, 08:41
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] New post  17 Feb 2020, 06:25
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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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Asmakan
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Re: An archer’s score is calculated by the formula , where b is [#permalink] New post  19 Jul 2020, 11:15
How did you know guys that b= 10 for the first archer?
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nisha28
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An archer’s score is calculated by the formula , where b is [#permalink] New post  20 Jul 2021, 00:43
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Asmakan wrote:
How did you know guys that b= 10 for the first archer?


Hope you have already got to know the answer. If still needed, you can check this-
The question mentioned that he shot 10 arrows and all hit bull's eye thus 10 arrows = 10 hits. so b is also 10.

Hope it will be helpful.
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