In a class of 50 students, 3x play cricket, 30 play football, 9 play both cricket and football and x plays neither
a. Draw a carefully labeled venn diagram to represent the information above
b. Determine the number of students who play cricket.
1/2 of the class played basketball 1/3 played cricket...on which day did more students play
To determine the number of students who play cricket, we can utilize the information given and the formula for finding the total number of elements in a set.
a. To draw a Venn diagram representing the information, follow these steps:
Step 1: Draw a rectangle to represent the entire class of 50 students.
Step 2: Label the rectangle as "Students".
Step 3: Inside the rectangle, draw two overlapping circles. Label one circle as "Cricket" and the other circle as "Football".
Step 4: Inside the "Cricket" circle, write down the number of students who play cricket (3x).
Step 5: Inside the "Football" circle, write down the number of students who play football (30).
Step 6: In the overlapping region of the two circles, write down the number of students who play both cricket and football (9).
Step 7: Outside of the circles, write down the number of students who play neither (x).
b. To determine the number of students who play cricket:
Step 1: Start with the total number of students (50).
Step 2: Subtract the number of students who play football (30).
Step 3: Subtract the number of students who play both cricket and football (9).
The formula would be: Number of students who play cricket = Total students - Students who play football - Students who play both.
Therefore, the number of students who play cricket would be (50 - 30 - 9), which equals 11.