<PRE><B>Question 1033494</B>
Charlotte and Lydia shared cashew nuts in the ratio of 6:7.when Charlotte gave 36 nuts to Lydia the ratio of nuts Charlotte has to lydia is 9:17.how many nuts did Lydia have at first. 
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Start::
Charlotte had 6x nuts 
Lydia had 7x nuts
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After the exchange::
Charlotte had 6x-36 nuts
Lydia had 7x+36
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Equation:
6x-36/7x+36 = 9/17
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17(6x-36) = 9(7x+36)
102x - 17*36 = 63x + 9*36
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39x = 26*36
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13x = 26*12
x = 2*12 = 24
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Ans: Charlotte had 6x = 6*24 = 144 nuts
Lydia had 7x = 7*24 = 140+28 = 168 nuts
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Cheers,
Stan H.
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