57 Team one had twice as many workers as team two. Because of increased productivity the number of workers in team one was reduced by 5 and the number of workers in team two was reduced by 2. How many workers are there in each team now if there are 7 more workers in team one?

Team 1 = 15 workers

Team two = 8 workers

Step-by-step explanation:

Let

Number of workers in team 1 = x

Number of workers in team 2 =y

Team one had twice as many workers as team two

x = 2y (1)

number of workers in team one was reduced by 5 and the number of workers in team two was reduced by 2.

x - 5 = y - 2

How many workers are there in each team now if there are 7 more workers in team one?

x - 5 = (y - 2) + 7

x - 5 = y - 2 + 7

x = y - 2 + 7 + 5

x = y + 10

Substitute x = y + 10 into (1)

x = 2y

y + 10 = 2y

10 = 2y - y

10 = y

y = 10

Substitute y = 10 into (1)

x = 2y

= 2(10)

= 20

x = 20

The team now has

Team 1 = x - 5

= 20 - 5

= 15 workers

Team 2 = y - 2

= 10 - 2

= 8 workers

d

step-by-step explanation:

d

a. is correct