In a market survey 100 traders sell fruit 40 sell apple 46 sell apples 50 sell oranges 14 sells apple and oranges 15 sell the three fruits 1: represent the information on venn diagram 2: find the number that sell orange and mango only.
you say "40 sell apple 46 sell apples"
so, which is it?
did you do your Venn diagram?
where do you get stuck?
Step 1: Represent the information on a Venn diagram:
To represent the information about the market survey on a Venn diagram, we need to consider three sets: Apple sellers, Orange sellers, and Mango sellers. We also have information about the number of traders who sell both fruits.
Let's draw a Venn diagram and fill in the information we have:
| Apple (40) |
| |
Orange | |
(50) | (15) | (14)
| |
| |
|__________________________________
The numbers in parentheses represent the number of traders who sell each fruit. The overlapping areas represent the traders who sell multiple fruits.
Step 2: Find the number of traders who sell orange and mango only:
From the Venn diagram, we can see that the number of traders who sell orange and mango only is the overlapping area between the orange circle and the mango circle.
Looking at the diagram, we can see that there is no specific number given for the traders who sell orange and mango only. Therefore, we cannot determine the exact number without further information.
To represent the given information on a Venn diagram, we need three intersecting circles: one for apples, one for oranges, and one for mangoes. Since the problem mentions that 40 traders sell apples, 50 sell oranges, and 100 traders sell fruits, we can start by writing these numbers in the respective circles.
Now, let's fill in the remaining information. The problem states that 46 traders sell apples, 14 sell both apples and oranges, and 15 sell all three fruits. To find the number of traders who sell oranges and mangoes only, we must subtract the number of traders who sell all three fruits from the number of traders who sell oranges.
Let's calculate the missing information step-by-step:
1: Representing the information on a Venn diagram:
_______
/ \
/ A \
/_________\
\ /
\ O /
\______/
A: Apples
O: Oranges
2: Finding the number that sell orange and mango only:
The number of traders who sell apples and oranges is 14, and the number of traders who sell all three fruits (apples, oranges, and mangoes) is 15.
Therefore, the number of traders who sell oranges and mangoes only is:
50 (number of total traders selling oranges) - 15 (number of traders selling all three fruits) = 35.
So, there are 35 traders who sell oranges and mangoes only.