## yociyoci 2 years ago Please help me with venn-diagram question! This is a sample question: At a large school, 110 students were absent on Monday, 100 were absent on Tuesday, and 90 were absent on Wednesday. In total there were 170 students who were absent for at least one of the three days. What is the largest number of students who could have been absent for every one of the these three days?

1. UnkleRhaukus

|dw:1359079350989:dw|

2. skullpatrol

Can you put the numbers into the diagram?

3. skullpatrol

110 students were absent on Monday 100 were absent on Tuesday 90 were absent on Wednesday

4. yociyoci

|dw:1359080115255:dw| What is the relationship of the number 170?

5. skullpatrol

Where on the diagram is this sentence? " In total there were 170 students who were absent for at least one of the three days."

6. yociyoci

I am not sure

7. skullpatrol

Where on the diagram is "... absent for every one of the these three days?"

8. yociyoci

The centre will represent for all three days

9. skullpatrol

Yes.

10. yociyoci

But 170 only represents at least one of the three days, meaning that there can be 170 students who are absent for one, two, or three days respectively

11. yociyoci

I am quite sure if I am interpreting this correctly, can you give me more hints?

12. skullpatrol

Continue with your interpretation, you are doing fine.

13. Mertsj

There could have been at most 90 students absent each of the three days because only 90 students were absent on Wednesday an it is possible they were all absent on the other days as well because more than 90 students were absent on Monday and Tuesday.

14. yociyoci

Oh

15. yociyoci

Thanks

16. Mertsj

yw