In June a baseball team that played 60 games had won 30% of its game played.…
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In June a baseball team that played 60 games had won 30% of its game played. After a phenomenal winning streak this team raised its average to 50% .How many games must the team have won in a row to attain this average?
- A.
12
- B.
20
- C.
24
- D.
30
Attempted by 17 students.
Show answer & explanation
Correct answer: C
Key facts: the team played 60 games and had a 30% win rate.
Initial wins = 30% of 60 = (30/100) × 60 = 18.
Let x be the number of consecutive wins needed.
After x wins: total wins = 18 + x; total games = 60 + x. We require (18 + x)/(60 + x) = 0.5.
Set up the equation: (18 + x) = 0.5 × (60 + x).
Multiply both sides by 2: 2(18 + x) = 60 + x ⇒ 36 + 2x = 60 + x.
Rearrange: 2x - x = 60 - 36 ⇒ x = 24.
Answer: The team must win 24 games in a row to attain a 50% win rate.