ExplanationCalculate 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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