SOLUTION: Hi Charlotte and Lydia shared some cashew nuts in the ratio 6:7.When Charlotte gave 36 nuts to Lydia the ratio Charlotte has to Lydia is 9:17.how many nuts did Lydia have at first

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Question 1029376: Hi
Charlotte and Lydia shared some cashew nuts in the ratio 6:7.When Charlotte gave 36 nuts to Lydia the ratio Charlotte has to Lydia is 9:17.how many nuts did Lydia have at first.
thanks
Answer by jorel555(1290) About Me  (Show Source):
You can put this solution on YOUR website!
When we start, Charlotte has 6 nuts out of every 13, Lydia has 7. When we finish adding and subtracting nuts, our ratio should be 9:17, thus:
6x-36/7x+36=9/17
63x+324=102x-612
39x=936
x=24
Lydia had 7x nuts to begin with, or 168 nuts!!!!!!!