SOLUTION: 2 people share a winning lottery ricket woth $1200. one person received $800 less than three times what the other person received. How much did each person receive. please he

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Question 312856: 2 people share a winning lottery ricket woth $1200. one person received $800 less than three times what the other person received. How much did each person receive.

please help and explain how you got the answer
thanks.

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
2 people share a winning lottery ricket woth $1200.
one person received $800 less than three times what the other person received. How much did each person receive.
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Equations:
a + b = 1200
a = 3b-800
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Substitute for "a" and solve for "b":
3b-800 + b = 1200
4b = 2000
b = $500 (amount one of the persons received)
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Since a = 3b-800, a = 3*500-800 = $700 (amount the other person received)
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Cheers,
Stan H.