Three departments of factory employ a total of 1274 people. Department B employs 70 people more than department A and department C employs 84 more workers than department B. How many people work in each department?

Question

Mathematics

Valencia

25 February, 15:23

Three departments of factory employ a total of 1274 people. Department B employs 70 people more than department A and department C employs 84 more workers than department B. How many people work in each department?

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Answers (1)

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Glover · Answer 1

No. of people in department A = 350

No. of people in department B = 420

No. of people in department C = 504

Step-by-step explanation:

Let the no. of people in department A be x

Given

Department B employs 70 people more than department A

Therefore,

no. of people in department B = x + 70

Again Given

department C employs 84 more workers than department B.

Therefore,

no. of people in department c = no. of people in department B + 84

no. of people in department c = x + 70 + 84 = x + 154

Total no. of people in all the department in terms of x = x + x + 70 + x+154

Total no. of people in all the department in terms of x = 3x + 224

Problem says

Three departments of factory employ a total of 1274 people

Therefore

3x + 224 = 1274

=> 3x = 1274 - 224 = 1050

=> x = 1050/3 = 350

Thus,

no. of people in department A = x = 350

no. of people in department B = x + 70 = 350 + 70 = 420

no. of people in department c = x + 154 = 350 + 154 = 504