Write and solve a system of equations that represents each situation. Interpret the situation.
Mr. Blackwell's company produces nuts and bolts. The total monthly profit for his company was $76,378. The profit earned from nuts was $3,428 more than the profit earned from bolts.

Question

Write and solve a system of equations that represents each situation. Interpret the situation.
Mr. Blackwell's company produces nuts and bolts. The total monthly profit for his company was $76,378. The profit earned from nuts was $3,428 more than the profit earned from bolts.

ybarrap · Answer

$
P=76,378\
N=3,428+B\
P=N+B\
   =3,428+B + B\
   =3,428+2B\
    =76,378\
\implies 76,378-3,428=2B\
\implies B=\cfrac{76,378-3,428}{2}
$
Where P is total Profit, N is the profit from nuts and B is the profit from Bolts.

Now you know the profits for Bolts and Nuts.