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In a group of 60 people, 5 didn't like any of the tea, coffee, and milk. If the ratio of people who like only one, only two and all three is 6:3:2, find the number of people who like only one.
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Answer:
People like only one = 6x = 30
People like only two = 3x = 15
People like all three = 2x = 10
Step-by-step explanation:
People like only one = 6x
People like only two = 3x
People like all three = 2x
No. of people don't like anything = 5
Total no. of people = 60
60 - (6x + 3x + 2x) = 5
60 - 11x = 5
-11x = 5 - 60
-11x = -55
x = -55/-11
x = 55/11
x = 5
People like only one = 6x = 6 × 5 = 30
People like only two = 3x = 3 × 5 = 15
People like all three = 2x = 2 × 5 = 10
No. of people don't like anything = 5
Total no. of people = 60
Check ⇒
People like only one = 6x = 6 × 5 = 30
People like only two = 3x = 3 × 5 = 15
People like all three = 2x = 2 × 5 = 10
No. of people don't like anything = 5
Total no. of people = 60
30 + 15 + 10 + 5 = 60
60 = 60
Hence, verified.
The answer is correct.
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