HI MY NAME IS TONY

MY QUESTION IS : I HAVE THREE CIRCLE THAT IS CIRCLE TOGETHER: IN CIRCLE A, THE NUMBERS ARE: 11 I KNOW IS IN CIRCLE A, BUT I HAVE THE: 5 THAT IN A AND C, I HAVE THE 2 IN THE CIRCLE C AND B AND AND A, THE CIRCLE C I KNOW THAT 10 IS IN THE CIRCLE THE 4 IN CIRCLE A: AND B: IN CIRCLE B, I KNOW NUMBER 13 IS IN CIRCLE B; BUT I HAVE THE 3 IN CIRCLE B AND C AND I HAVE THE 2 IN CIRCLE B AND C AND A ,THE 4 IN CIRCLE B AND A.
HOW DO I FIND THE SUM IN CIRCLE C AND IN B IN BOTH CIRCLE A AND B AND B AND C NOT IN CIRCLE B, AND NOT CIRCLE C.

I am a student



Hi Tony,

I hope I have this correct. You have what we call a Venn Diagram.


Circle A:

There are 11 in circle A, but 5 of them are in A and C and 2 of them are in C, B and A. In the diagram you can put the 2 in the region C, B and A. The 5 in A and C are the 2 you have already put in C, B and A and 3 more which are in A and C but not in B. There are 6 more in A (11 - 2 - 3 = 6) but you don't know yet exactly where they are.

Circle C:

There are 10 in circle C and 4 in circles A and B. Since I already have counted 2 in circles A and B (the two in A and B and C) there are 2 in A and B but not in C.

Circle B:

There are 13 in circle B, and 3 in circles B and C. You have already counted 2 of these 3, (again the 2 in C, B and A) hence there is 1 in B and C but not in A.

You should now be able to fill in the remainder. For example there are 11 in circle A and you have already included 7 (3 + 2 + 2) and thus there are 4 in the remaining part of A.

Cheers,
Penny

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