in a community of 74 women, 6 of them are fishmongers and petty traders. the number of women who are petty traders only is three more than twice the number of women are into any of the two business.represent information on venn diagram
To represent this information on a Venn diagram, we can use circles to represent the two different businesses: fishmongers and petty traders. Since there are 74 women in total, we can write this number outside of the diagram.
Let's denote the number of women who are fishmongers only as "A", the number of women who are petty traders only as "B", and the number of women who are both fishmongers and petty traders as "C".
From the information given, we know that "A + B + C = 6" since there are six women who are both fishmongers and petty traders.
We also know that the number of women who are petty traders only (B) is three more than twice the number of women who are into any of the two businesses. This can be written as: B = 2A + 3.
On the Venn diagram, we can label the overlapping region of the two circles as "C", and place the number 6 inside this region to represent the six women who are both fishmongers and petty traders.
We can also label the region inside the fishmongers circle as "A" and write the equation "A + C = ?" since we do not know the specific number yet.
Similarly, we can label the region inside the petty traders circle as "B" and write the equation "B + C = ?" since we do not know the specific number yet.
Finally, outside of the diagram, we write the total number of women, which is given as 74.
The final representation on the Venn diagram would look like this:
A B
______|_____|
| ? |
|______|_____|
C
Fishmongers Petty Traders
A B
C
total = 74
Note: The specific numbers for A, B, and the equations with the question marks inside the diagram will need to be calculated using the given information.