SOLUTION: mark and linda had 90 sweets altogether. after mark ate 1/3 of his sweets and linda ate 25 sweets. they had an equal number of sweet left. how many sweet did each of them have at f

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Question 1058252: mark and linda had 90 sweets altogether. after mark ate 1/3 of his sweets and linda ate 25 sweets. they had an equal number of sweet left. how many sweet did each of them have at first?
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
mark and linda had 90 sweets altogether. after mark ate 1/3 of his sweets and linda ate 25 sweets. they had an equal number of sweet left. how many sweet did each of them have at first?
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Start::
Mark had x
Linda had 90-x
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Change::
Mark had (2/3)x
Linda had 90-x-25 = 65-x
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Equation:
(2/3)x = 65-x
2x = 195 - 3x
5x = 195
x = 39 (Mark had originally)
90-x = 51 (Linda had originally)
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Cheers,
Stan H.
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