In a quiz competition of60 competitors 24drank Cocacola 25 drank fanta while 22 drank maltina. 6 drank cacacola and fanta and 5drank fanta and maltina.if a number of competitors drank the 3types of soft drink and 5did not drink any of them.draw a Venn diagram to illustrate the piece of information
Help me solve it
Cannot draw Venn diagram here.
To draw a Venn diagram that represents the given information, we need to follow these steps:
Step 1: Determine the total number of competitors who drank each type of soft drink. From the given information, we know that:
- 24 competitors drank Cocacola
- 25 competitors drank Fanta
- 22 competitors drank Maltina
Step 2: Identify the number of competitors who drank multiple types of soft drinks. We are told that:
- 6 competitors drank both Cocacola and Fanta
- 5 competitors drank both Fanta and Maltina
Step 3: Determine the number of competitors who did not drink any of the three soft drinks. We are told that 5 competitors did not drink any.
Now, let's draw the Venn diagram:
Step 4: Start by drawing three overlapping circles, one for each type of soft drink – Cocacola, Fanta, and Maltina.
Step 5: Inside the Cocacola circle, write the number of competitors who drank Cocacola only (24 - 6), which is 18.
Step 6: Inside the Fanta circle, write the number of competitors who drank Fanta only (25 - 6 - 5), which is 14.
Step 7: Inside the Maltina circle, write the number of competitors who drank Maltina only (22 - 5), which is 17.
Step 8: In the overlapping regions:
- In the overlap between Cocacola and Fanta, write the number of competitors who drank both (6).
- In the overlap between Fanta and Maltina, write the number of competitors who drank both (5).
- In the overlap between Cocacola, Fanta, and Maltina, write the number of competitors who drank all three (to be determined).
Step 9: Finally, outside of all the circles, write the number of competitors who did not drink any of the three types of soft drinks (5).
The Venn diagram should now be complete, illustrating the given information.