The startup department made 80% of 1/2 of the established department. The start up departments growth was 1/3 greater than the established departments . If the departments made $280,000 combined , how much did the start up department make

The start up department make $80,000.

Step-by-step explanation:

Given:

The startup department made 80% of 1/2 of the established department. The start up departments growth was 1/3 greater than the established departments .

If the departments made $280,000 combined.

Now, to find the amount start up department make.

Let the amount of start up department be

And let the amount of established department be

As, the startup department made 80% of of the established department.

So, we put an equation:

Now, the combined amount of both departments:

Substituting the value of from equation (1) we get:

Dividing both sides by 1.4 we get:

Now, substituting the value of in equation (1) we get:

Thus, the amount of start up department make = $80,000.

Therefore, the start up department make $80,000.