a company employs 152 manufacturing employees there are 3 shifts twice as many employs work on first shift as on second shift and 12 fewer on third than second shift determine how many employees on each shift
Answers
1st: 2x
2nd: x
3rd: x-12
1st+2nd+3rd= 2x+x+(x-12)
=4x-12
=> 4x-12 = 152
=> 4x = 164
=> x=41
Therefore, 1st shift 41×2=82
2nd shift 41
3rd shift 41-12=29
Answer:
The total number of manufacturing employees is indeed 152.
Step-by-step explanation:
Suppose the number of employees in the second shift is x. So the number of employees in the first shift is 2x (twice as many as in the second shift) and the number of employees in the third shift is (x-12) (12 fewer than in the second shift).
According to the question, the total number of production workers is 152. So we can write an equation based on this information:
x + 2x + (x-12) = 152
By simplifying the equation we get:
4x - 12 = 152
Add 12 to both sides:
4x = 164
division by 4:
×=41
There are 41 employees in the second shift, 2x = 82 employees in the first shift and (x-12) = 29 employees in the third shift.
To verify the correctness of the answer, we can add up the number of employees across the three shifts:
41 + 82 + 29 = 152
So the total number of production workers is actually 152.
The company thus has 41 employees on the second shift, 82 employees on the first shift and 29 employees on the third shift.
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