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

Anonymous
account_balance_wallet \$5

Question Description

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?

Lewis_M
School: UC Berkeley

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

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Review

Anonymous
Excellent job

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