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The average number of slam dunks between the sophomore basketball league members is 20. The average number of slam dunks between the sophomore and junior basketball league members is 30. If there are 40 members in the sophomore league and 20 members in the junior league, how many slam dunks are made in the junior league?

Sagot :

Answer:

The sum of the slam dunks made in the junior league is 1,000 slam dunks

Step-by-step explanation:

The known parameters are;

The average number of slam dunks between the sophomore basketball league members, μ₁ = 20

The average number of slam dunks between the sophomore and junior basketball league members, μ₃ = 30

The number of members of the sophomore league, n₁ = 40

The number of members of the junior league, n₂ = 20

We get;

The sum of the scores of the sophomore league members, S₁ = μ₁ × n₁

∴ S = 20 × 40 = 800

The sum of the scores of the sophomore and junior league members combined, S₃ = (n₁ + n₂) × μ₃

∴ S₃ = (40 + 20) × 30 = 1,800

The sum of the slam dunks made by the junior league members, S₂ = S₃ - S₂

∴ S₂ = 1,800 - 800 = 1,000

∴ The sum of the slam dunks made in the junior league, S₃ = 1,000