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yociyoci
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?
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Can you put the numbers into the diagram?
110 students were absent on Monday 100 were absent on Tuesday 90 were absent on Wednesday
|dw:1359080115255:dw| What is the relationship of the number 170?
Where on the diagram is this sentence? " In total there were 170 students who were absent for at least one of the three days."
Where on the diagram is "... absent for every one of the these three days?"
The centre will represent for all three days
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
I am quite sure if I am interpreting this correctly, can you give me more hints?
Continue with your interpretation, you are doing fine.
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.