In this page set word problem2 we will see how to solve the given problem using venn diagram. In this problem we are going to find out total number of people using venn diagram. Using the same method student can try the practice problem.
At a breakfast buffet, 20 people chose coffee and 17 chose juice. 10 people chose both coffee and juice. If each person chose at least one of these beverages, how many people visited the buffet?
Solution:
First let us write the given information.
Number of people chose coffee = 20
Number of people chose juice = 17
Number of people chose coffee and juice = 10
While entering the given information in the venn diagram, first we have to enter the number which are common to both beverages. |
Now we have to enter number of people chose juice, that is 17. But we had already entered 10 inside the juice circle. So we have to subtract 10 from 17 and enter the answer 7 in the outside of the common area of the juice circle |
Now we have to enter the number of people chose coffee, that is 20. But we had already entered 10 inside the coffee circle. So we have to subtract 10 from 20 and enter the answer 10 in the area outside of the common area of the coffee circle |
We had entered all the given information. The question is if each person chosen at least one of the beverages how many people visited the buffet?
Since each person chosen at least one of the beverages, to find the total we have to add all the numbers inside the circles.
Answer: The number of people visited the buffet is 10+10+7 = 27
Practice problem: In a class 28 students play soccer and 26 students play boxing. 14 of them play both soccer and boxing. If each student chosen at least one of the game, how many students are there in the class?