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An archer’s score is calculated by the formula , where b is
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27 Jul 2018, 07:10
27 Jul 2018, 07:10
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77% (01:53) correct
22% (02:43) wrong based on 63 sessions
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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
(A) 2
(B) 7
(C) 10
(D) 18
(E) 20
Re: An archer’s score is calculated by the formula , where b is
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12 Aug 2018, 05:25
12 Aug 2018, 05:25
Expert Reply
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.
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.
Re: An archer’s score is calculated by the formula , where b is
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06 Jul 2019, 00:07
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
(A) 2
(B) 7
(C) 10
(D) 18
(E) 20
Any other way to solve this?--Not the answer from Manhattan 5lb
