SOLUTION: The middle school dance team had 3 separate car washes on Saturday to raise money for new uniforms. The Main Street location raised $50 more than the Back Street location. The Wash

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Question 806798: The middle school dance team had 3 separate car washes on Saturday to raise money for new uniforms. The Main Street location raised $50 more than the Back Street location. The Washington Street location raised $50 more than half the amount raised at the Back Street location. How much did the dance team raise at each location if they raised a total of $600?
From Carnegie 1.3 Worksheet --- Define a variable and write algebraic expressions for each of the given quantities. Then, answer the question by writing and solving the equation. I was absent and do not understand how to work this out. Please HELP ASAP!! I have a test on this stuff tomorrow!!!!!! Thank you so much in advance for your help!!

Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website!
The middle school dance team had 3 separate car washes on Saturday to raise money for new uniforms.
The Main Street location raised $50 more than the Back Street location.
The Washington Street location raised $50 more than half the amount raised at the Back Street location.
How much did the dance team raise at each location
if they raised a total of $600?
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ms = bs + 50
ws = (1/2)bs + 50
ms + bs + ws = 600
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In place of ms put (bs+50)
In place of ws put (1/2)bs+50
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(bs+50) + ((1/2)bs+50) + bs = 600
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Solve for "bs"::::
bs + (1/2)bs + bs + 50 + 50 = 600
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(5/2)bs + 100 = 600
(5/2)bs = 500
bs = $200 (amt. raised by Back Street location)
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ms = bs+50 = 200+50 = $250 (amt raised by Main Street location)
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ws = (1/2)bs+50 = 100 + 50 = $150 (amt raised by Washington Street)
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Cheers,
Stan H.
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