The startup division made 80% of 1/2 of the established division. the startup division’s growth was 1/3 greater than the established division’s. if the divisions made $280,000 combined, how much did the startup division make?

Step-by-step explanation:

First, let's create variables:

s = startup division

e = established divisioN

The startup division made 80% of 1/2 of the established division.

Let's take a look at what the above statement means: Making 80% of 1/2 means...

0.8 of 1/2 = 0.8*0.5 = 0.4 --> s = 0.4e.

Next: The startup division’s growth was 1/3 greater than the established division’s.

Seems like this is additional information is not needed.

If the divisions made 280,000 combined, how much did the startup division make?

s + e = 280,000 --> s = 280,000 - e, then we can substitude s = 0.4e for s -->

280,000 - e = 0.4e --> 1.4e = 280,000 --> e = 200,000.

This means that s = 80,000.

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