Question

Two workers produced $86$ parts and the first one produced $8$ more parts than the second one. How many parts did each worker produce?

Answer 1

Formulate the expression and simplify:

Let $x$ be the parts produced by the second one.

Then, the parts produced by the first one is $x+8$.

Now, they both produced $86$ parts.

Therefore,

$x+x+8=86$

$\Rightarrow$ $2x+8=86$

$\Rightarrow$ $2x=78\left(\mathrm{Subtracting}8\mathrm{from}\mathrm{both}\mathrm{sides}\right)$

$\Rightarrow$ $x=\frac{78}{2}\left(\mathrm{Dividing}\mathrm{both}\mathrm{sides}\mathrm{by}2\right)$

$\therefore$ $x=39$

Therefore,

the parts produced by the second worker are $x=39$.

the parts produced by the first worker are $x+8=39+8=47$

Hence, the parts produced by the first worker are $47$ and parts produced by the second worker are $39$.