Mr. Blackwell company produces nuts and bolts. The total monthly profit for his company was $76378. The profit earned from nuts was $3428 more than the profit earned from the bolts.

Let b = profit from bolts
Let n = profit from nuts

b + n = total profit

The profit from nuts is $3428 more than the profit from bolts, so we have

n = b + 3428

b + n = 76378

b + b + 3428 = 76378

2b + 3428 = 76378

2b = 72950

b = 36475

n = b + 3428 = 36475 + 3428 = 39903

The profit from nuts is $39903.
The profit from bolts is $36475.