in a service 1/4 of the people are men, 1/3 are woman and the rest are children if there are 50 children, how many people are there altogether
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Step-by-step explanation:
Let the total number of people in service be x.
Now, Number of men in service = x/4
Number of women in service = x/3
→ x/4 + x/3 + 50 = x
→ x/4 + x/3 - x = -50
Now, find the LCM of 3 and 4, i.e 12.
→ (3x + 4x - 12x)/12 = -50
→ 7x - 12x = -50 × 12
→ -5x = -600
→ x = -600/-5
→ x = 120
Therefore, there are 120 peoples in the service.
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