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.
a). Represent the information on a Venn diagram.
b). Find the number of woman who are
I). Fish mongers
ii). Petty traders
To represent the information on a Venn diagram, we can begin by drawing two overlapping circles to represent the two businesses: fishmongers and petty traders.
a) Venn diagram representation:
Let's label one circle as "Fishmongers" and the other as "Petty Traders."
Now, according to the given information:
- There are a total of 74 women in the community.
- 6 women are both fishmongers and petty traders.
We can place these 6 women in the overlapping region of the two circles.
- The number of women who are only petty traders is three more than twice the number of women who are involved in any of the two businesses.
Let's say x represents the number of women who are involved in any of the two businesses. Then, three more than twice that number is (3 + 2x).
So, we can place "x" in the region that represents women involved in any of the two businesses and "3 + 2x" in the region that represents women who are only petty traders.
b) Now, to find the number of women who are:
I) Fishmongers:
From the diagram, you can see that there are 6 women in the overlapping region representing fishmongers and petty traders, giving us the answer of 6.
ii) Petty traders:
From the diagram, you can see that there are "3 + 2x" women in the region that represents women who are only petty traders. Therefore, the number of women who are petty traders is "3 + 2x".