In a class of 20 students, 8 drink cocoa, 13 drink fanta and 5 drink cocoa only, how many do not drink cocoa fanta.?
can you be more....explaining with your question? I'm not trying to be rue but it was hard to understand
Ok, it is best to draw a venn diagram. Of the 8 who drink cocoa, 3 drink other things. In this case, the only other thing is fanta. So three drink fanta and cocoa. Which means the remaining 10 fanta drinkers do not drink cocoa.
Like Bob suggested make a Venn diagram of 2 intersecting circles within a rectangle (the usual diagram).
8 drink coke, and 5 drink only coke, so clearly 3 must go in the intersection of coke and Fanta, with 5 in the only coke part.
13 drink Fanta, but of those 3 are already accounted for, so put 10 in the only Fanta part of the diagram.
Add up what we have in the circles so far: 5+3+10 = 18 , leaving 2 not accounted for.
They must be inside the rectangle, but outside of either circle.
So we conclude that of the 20 students, 2 drink neither coke nor fanta.
To find the number of students who do not drink cocoa fanta, we need to subtract the number of students who drink cocoa fanta from the total number of students in the class.
First, let's find the number of students who drink cocoa fanta. According to the information given, 8 students drink cocoa and 13 students drink fanta. However, we need to be careful not to count the students who drink both cocoa and fanta twice.
To calculate the number of students who drink both cocoa and fanta, we can use the principle of inclusion-exclusion. The total number of students who drink both cocoa and fanta is given by the sum of the number of students who drink cocoa (8) and the number of students who drink fanta (13), minus the number of students who drink both cocoa and fanta.
Let's calculate the number of students who drink both cocoa and fanta:
Both Cocoa and Fanta = Cocoa + Fanta - Cocoa only
Both Cocoa and Fanta = 8 + 13 - 5
Both Cocoa and Fanta = 16
Now that we know there are 16 students who drink cocoa fanta, we can calculate the number of students who do not drink cocoa fanta by subtracting this number from the total number of students in the class.
Number of Students who do not drink Cocoa Fanta = Total number of students - Students who drink Cocoa Fanta
Number of Students who do not drink Cocoa Fanta = 20 - 16
Number of Students who do not drink Cocoa Fanta = 4
Therefore, there are 4 students who do not drink cocoa fanta in the class of 20 students.