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The average ages of the players on team A and team B are 20 and 30 years, respectively. The average age of the players on the teams together is 26. If the total number of players on the two teams is 100, then which one of the following is the number of players on team A?
(A) 20
(B) 40
(C) 50
(D) 60
(E) 80
(A) 20
(B) 40
(C) 50
(D) 60
(E) 80
07 Jul 2022, 21:31
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Let the number of players on team A be \(x\).
\(\implies \frac{x(20) +(100-x)(30)}{100} = 26\)
\(\implies 20x + 3000 - 30x = 2600\)
\(\implies 10x = 400\)
\(\implies x = 40\)
\(\implies \frac{x(20) +(100-x)(30)}{100} = 26\)
\(\implies 20x + 3000 - 30x = 2600\)
\(\implies 10x = 400\)
\(\implies x = 40\)
07 Jul 2022, 21:32
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Bunuel
The average ages of the players on team A and team B are 20 and 30 years, respectively. The average age of the players on the teams together is 26. If the total number of players on the two teams is 100, then which one of the following is the number of players on team A?
(A) 20
(B) 40
(C) 50
(D) 60
(E) 80
(A) 20
(B) 40
(C) 50
(D) 60
(E) 80
Is the average closer to 20, to 30, or right in the middle? 30. A, B, and C are out. Is it al lot closer to 30, or is it pretty close to the middle? The middle. E is out.
Answer choice D.
