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Study the information given below to answer these questions
In a certain team, there are 15 basketball players and 25 baseball players. The total number of players is 32 and everyone plays at least one sport.
How many players play only one sport?
- a)20
- b)40
- c)17
- d)24
Correct answer is option 'D'. Can you explain this answer?
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Study the information given below to answer these questionsIn a certai...
Analysis:
There are 15 basketball players and 25 baseball players in a team, with a total of 32 players. Everyone plays at least one sport.
Solution:
Step 1: Calculate the total number of players playing both sports
- Total basketball players = 15
- Total baseball players = 25
- Total players = 32
- Let the number of players playing both sports be x
Therefore, x = Total basketball players + Total baseball players - Total players
x = 15 + 25 - 32
x = 8
So, there are 8 players who play both basketball and baseball.
Step 2: Calculate the number of players playing only one sport
- Number of players playing only basketball = Total basketball players - Players playing both sports
= 15 - 8
= 7
- Number of players playing only baseball = Total baseball players - Players playing both sports
= 25 - 8
= 17
Therefore, the total number of players playing only one sport = Players playing only basketball + Players playing only baseball
= 7 + 17
= 24
Hence, the correct answer is option 'D' - 24 players play only one sport.
There are 15 basketball players and 25 baseball players in a team, with a total of 32 players. Everyone plays at least one sport.
Solution:
Step 1: Calculate the total number of players playing both sports
- Total basketball players = 15
- Total baseball players = 25
- Total players = 32
- Let the number of players playing both sports be x
Therefore, x = Total basketball players + Total baseball players - Total players
x = 15 + 25 - 32
x = 8
So, there are 8 players who play both basketball and baseball.
Step 2: Calculate the number of players playing only one sport
- Number of players playing only basketball = Total basketball players - Players playing both sports
= 15 - 8
= 7
- Number of players playing only baseball = Total baseball players - Players playing both sports
= 25 - 8
= 17
Therefore, the total number of players playing only one sport = Players playing only basketball + Players playing only baseball
= 7 + 17
= 24
Hence, the correct answer is option 'D' - 24 players play only one sport.
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