Question

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?

Answer 1

Answer:

 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