Question

Of the eighth qraders at the Paxton School, 9 played basketball, 9 played volleyball, 10 played soccer, 1 played basketball and soccer only, 2 played volleyball and soccer only, 1 played basketball and volleyball only, and 2 played volleyball, basketball, and soccer How many played one or more of the three sports? How many eighth graders played one or more of the three sports? urse Enter your answer in the answer box and then cick Cneck Answer eck Aer All parts showing X O Java Update Available A new version of Java is ready to be installed

Answer 1

Answer:

13 players

Step-by-step explanation:

Given:

Number of player played basketball = 9

Number of player played volleyball = 9

Number of player played soccer = 10

Number of player played basketball and soccer only = 1

Number of player played volleyball and soccer only = 2

Number of player played basketball and volleyball only = 1

Number of player played volleyball, basketball, and soccer = 2

Now,

The Number of player played basketball only

= players played basketball - player played basketball and soccer - player played basketball and volleyball  - player played volleyball, basketball, and soccer

= 9 - 1 - 2 - 2

= 4

similarly

The Number of player played volleyball only

= players played volleyball - player played  volleyball and soccer - player played basketball and volleyball - player played volleyball, basketball, and soccer

= 9 - 2 - 1 - 2

= 4

The Number of player played soccer only

= players played soccer - Number of player played basketball and soccer only - player played  volleyball and soccer  - player played volleyball, basketball, and soccer

= 10 - 1 - 2 - 2

= 5

Hence,

the number of players played one or more sports = 4 + 4 + 5 = 13 players