Algebra homework help needed on Word Problem Assistance on start up growth

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Please assist me with solving this word problem.  I've been stuck on it for an hour and I'm making no progress.  I really appreciate your help!  Thank you!  The problem is as follows:

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

Nov 1st, 2015

Thank you for the opportunity to help you with your question!

lets assume

the established department made $ X

the start up department made $ Y

But the start up department made

Y = 80/100 x 1/2 of X = 0.4X

the sum of what the 2 departments made

Y + X = 280,000

0.4X + X = 280000

1.4X = 280000

therefore to find X, we divide both sides by 1.4

1.4X/1.4 = 280000/1.4

X =  $ 200000

Thus the start up department made

0.4X = 0.4 x 200000 = $ 80000

Please let me know if you need any clarification. I'm always happy to answer your questions.
Nov 1st, 2015

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