Answer:
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
