Make a Venn Diagram using the problem below, use short bond paper for the Output Problem: A group of 40 students were asked whether they use either Smart or Globe sim card Twenty-eight of them use Smart and thirty-two use Globe. How many of them use both sim card?
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Answer:
10 of them use both sim cards
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Given:
No. of students = 40
No. of students who use Smart SIM = 28
No. of students who use Globe SIM = 32
To find:
No. of students who use both SIM cards using Venn Diagram
Solution:
Let S represent those who use Smart SIM and G represent those who use Globe SIM.
Here, n(S) = 28, n(G) = 32, n(S∪G) = 40, n(S∩G) = ?
We have according to the formula,
n(S∪G) = n(S) + n(G) - n(S∩G)
40 = 28 + 32 - n(S∩G)
40 = 60 - n(S∩G)
n(S∩G) = 60 - 40
n(S∩G) = 20
Final Answer:
20 students use both Smart and Globe SIM cards. The Venn diagram is shown below.
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