In a class of 50 students, 36 students have a sandwich in their lunch box and 23 students have a piece of fruit and 7 have neither. Fill in a Venn diagram to represent this situation
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A class of 26 students is surveyed and it is found that 14 own a dog and 17 own a cat. 3 students owned neither
To fill in a Venn diagram representing this situation, we need three sets: "Sandwiches," "Fruits," and "Neither."
To start, draw a rectangle to represent the universal set, which in this case is the class of 50 students.
Next, create two overlapping circles within the rectangle to represent the sets "Sandwiches" and "Fruits."
Now, let's fill in the information we have. According to the problem, 36 students have a sandwich and 23 students have a piece of fruit.
Inside the circle labeled "Sandwiches," write the number 36. This tells us that there are 36 students who have a sandwich.
Inside the circle labeled "Fruits," write the number 23. This tells us that there are 23 students who have a piece of fruit.
Lastly, we know that 7 students have neither a sandwich nor a piece of fruit. Outside of both circles, write the number 7.
Now, your Venn diagram should be complete, with the numbers indicating the number of students in each set.