Team one had twice as many workers as team two. The number of workers in team one is reduced by 5 and the number of workers in team two is reduced by 2. How many workers are there in each team now if there are 7 more workers in team one?
you are wrong correct it now;(
Let's assume the number of workers in team two is represented by x.
Since team one has twice as many workers as team two, the number of workers in team one is 2 * x.
The problem states that the number of workers in team one is reduced by 5, so the new number of workers in team one is 2 * x - 5.
Similarly, the number of workers in team two is reduced by 2, so the new number of workers in team two is x - 2.
According to the problem, the new number of workers in team one is 7 more than the new number of workers in team two.
Therefore, we can set up the equation: 2 * x - 5 = x - 2 + 7.
Simplifying the equation, we have: 2x - 5 = x + 5.
Subtracting x from both sides of the equation, we get: x - 5 = 5.
Adding 5 to both sides of the equation, we get: x = 10.
So, the original number of workers in team two was 10.
Substituting this value back into the equation for team one, we have: 2 * 10 - 5 = 20 - 5 = 15.
Therefore, there are now 15 workers in team one and 10 workers in team two.
Let's break down the information given step by step to solve this problem:
1. Let's represent the number of workers in team two as 'x'. Since team one has twice as many workers as team two, we can represent the number of workers in team one as '2x'.
2. According to the problem, the number of workers in team one is reduced by 5. So the new number of workers in team one would be '2x - 5'.
3. Similarly, the number of workers in team two is reduced by 2. So the new number of workers in team two would be 'x - 2'.
4. We are also given that there are 7 more workers in team one now, so '2x - 5' should be equal to 'x + 7'.
Now, we can solve this equation to find the value of 'x':
2x - 5 = x + 7
Let's solve for 'x':
2x - x = 7 + 5
x = 12
So, the original number of workers in team two was 12.
Now, let's substitute this value back into our equations to find the new number of workers in each team:
Number of workers in team one = 2x - 5 = 2(12) - 5 = 24 - 5 = 19
Number of workers in team two = x - 2 = 12 - 2 = 10
Therefore, after the reductions, there are 19 workers in team one and 10 workers in team two.
Let n be team two. Then team one is 2n. So:
2n-5-7=n-2
n=10
Originally, team one had 20 workers, and team two had 10
☺☺☺☺