out of 200 members in a family 11 like to take tea,and 14 like to taker coffe. assume that each one likes atleast one of two drinks . how many like , only tea and not coffe use venn diagram
Question
out of 200 members in a family 11 like to take tea,and 14 like to taker coffe. assume that each one likes atleast one of two drinks . how many like , only tea and not coffe use venn diagram
Solution
To solve this problem, we can use a Venn diagram. Here are the steps:
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Draw two circles that overlap. One circle represents the people who like tea, and the other represents the people who like coffee.
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According to the problem, 11 people like tea and 14 people like coffee. However, we don't know yet how many people like both. So, for now, write 11 in the tea circle and 14 in the coffee circle.
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The problem also states that everyone likes at least one of the two drinks. This means that everyone is somewhere in these two circles. Since there are 200 people in total, this means that the sum of the people in both circles should be 200.
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However, if you add up the people in the tea circle and the coffee circle right now, you get 11 + 14 = 25, which is more than 200. This means that some people are being counted twice - once for tea and once for coffee. These are the people who like both drinks.
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To find out how many people like both drinks, subtract the total number of people from the sum of the tea and coffee circles: 25 - 200 = -175. This is the number of people who are being counted twice.
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To find out how many people like only tea and not coffee, subtract the number of people who like both drinks from the total number of people who like tea: 11 - (-175) = 186.
So, 186 people like only tea and not coffee.
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