Draw your Venn diagram of three intersecting circles.
30 in the center part
Since 55 are married and have a cell phone, that leaves 25 in the unlabeled intersection of married and cell.
Similarly, 5 in the cell-car intersection not already labeled.
25 in the unlabeled part of married-car intersection.
Now label the still empty parts by adding up all three numbers entered for each large circle, and subtracting from the total for the large circle. That makes the numbers in the still empty parts
20 married only
10 cell only
30 car only
85+70+75 - (55+35+40) + 30 = 130, so there are 20 not in any circle: single, no car, no cell.
single & no car = 20+10 = 30
the 10 come from those not married, with no car but with cell.
20 are single, no car, no cell: U-(M&cell&car)
150 men live in a certain town:
85 are married
70 have a cell phone
75 own a car
55 are married and have a cell phone
35 have a cellphone and a car
40 are married and have car
30 are married, have a car and have a cellphone. How many men are single and do not have a car? How many men are single and do not have either a car or a cellphone?
I am trying to set this up using sets and/or venn diagram. can anyone assist me?
1 answer