Question

Two workers produced 86 parts during their working shift. The first worker produced 15% more parts than the second one. How many parts did each worker produce?

Answer 1

The second worker produced 40 parts and the first worker produced 46 parts.

Step-by-step explanation:

To solve this problem, we can set up a system of equations. Let x represent the number of parts produced by the second worker. Since the first worker produced 15% more parts, the number of parts produced by the first worker can be represented as 1.15x. The total number of parts produced by both workers is 86, so we can set up the equation:

x + 1.15x = 86

Combining like terms, we get 2.15x = 86. Divide both sides of the equation by 2.15 to find x:

x = 40

Substituting this value back into the equation, we find that the second worker produced 40 parts. The first worker produced 15% more, so they produced 40 + 0.15(40) = 46 parts.

Answer 2

You can set this up as an equation
Worker 1 produces x parts
Worker 2 produces x+0.15x parts (0.15x is 15% of x)
Thus the equation would be
x+x+0.15x=86
You can solve that for x, which will be the number of parts worker 1 produces
x=40
now we can solve for what worker 2 produces
40+0.15(40)=46 (**since there are two workers, you could also just subtract the parts produced by worker 1 from the total number)

so,
worker 1 produces 40 parts and worker 2 produces 46 parts