SOLUTION: The first 100 cost $10 each and the next 200 cost $5 each. How much should Roger pay for the next 100 if the overall average price is to be $10. The answer is supposed to be $2

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Question 415950: The first 100 cost $10 each and the next 200 cost $5 each. How much should Roger pay for the next 100 if the overall average price is to be $10.
The answer is supposed to be $20 but I can't figure it out. Can someone please help?

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
The first 100 cost $10 each and the next 200 cost $5 each. How much should Roger pay for the next 100 if the overall average price is to be $10.
The answer is supposed to be $20
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Average value Equation:
(100*10 + 200*5 + 100*x)/400 = 10
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(2000 + 100x) = 4000
100x = 2000
x = $20
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Cheers,
Stan H.