In a group of 50 people, 35 speak Hindi, 25 speak both English and Hindi and all the people speak at least one of the two languages. (a) How many people speak only English not Hindi? (b) How many people speak English?
Question
In a group of 50 people, 35 speak Hindi, 25 speak both English and Hindi and all the people speak at least one of the two languages. (a) How many people speak only English not Hindi? (b) How many people speak English?
Solution
(a) To find out how many people speak only English and not Hindi, we first need to understand that there are people who speak both languages. We know that 35 people speak Hindi and out of these, 25 people also speak English. Therefore, the number of people who speak only Hindi is 35 - 25 = 10.
Since we know that all 50 people speak at least one of the two languages, the people who speak only English would be the total number of people minus those who speak Hindi. So, 50 (total people) - 10 (people who speak only Hindi) - 25 (people who speak both languages) = 15 people speak only English and not Hindi.
(b) To find out how many people speak English, we add the number of people who speak only English and the number of people who speak both languages. So, 15 (people who speak only English) + 25 (people who speak both languages) = 40 people speak English.
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