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?

 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

answer: e 9, 5.75

step-by-step explanation:

step 1

find the variation ab in the x coordinate

delta x=(x2-x1)=10-> 8 units

find the variation ab  in the y coordinate 

delta y=(y2-y1)=6-> 2 units

step 2

find the coordinates point c

  x coordinate 

cx=ax+delta x*2/> cx=2+8*(2/> cx=3

  y coordinate 

cy=ay+delta y*2/> cy=4+2*(2/> cy=4.25

the coordinates of point c are (3,4.25)

step 3

find the coordinates point d

  x  coordinate 

dx=ax+delta x*4/> dx=2+8*(4/> dx=4

  y  coordinate 

dy=ay+delta y*4/> dy=4+2*(4/> dy=4.5

the coordinates of point d are (4, 4.5)

step 4

find the coordinates point e

  x  coordinate 

ex=ax+delta x*4/> ex=2+8*(6/> ex=5

  y  coordinate 

ey=ay+delta y*4/> ey=4+2*(6/> ey=4.75

the coordinates of point e are (5, 4.75)

step 5

find the coordinates point f

  x  coordinate 

fx=ax+delta x*4/> fx=2+8*(8/> fx=6

  y  coordinate 

fy=ay+delta y*4/> fy=4+2*(8/> fy=5

the coordinates of point f are (6,5)

step 6

find the coordinates point g

  x  coordinate 

gx=ax+delta x*4/> gx=2+8*(10/> gx=7

  y  coordinate 

gy=ay+delta y*4/> gy=4+2*(10/> gy=5.25

the coordinates of point g are (7,5.25)

step 7

find the coordinates point h

  x  coordinate 

hx=ax+delta x*4/> hx=2+8*(12/> hx=8

  y  coordinate 

hy=ay+delta y*4/> hy=4+2*(12/> hy=5.5

the coordinates of point h are (8,5.5)

step 8

find the coordinates point i

  x  coordinate 

ix=ax+delta x*4/> ix=2+8*(14/> ix=9

  y  coordinate 

iy=ay+delta y*4/> iy=4+2*(14/> iy=5.75

the coordinates of point i are (9,5.75)

- r3ktforgood ☕

i think the answer is b