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A nut mixture contains peanuts walnuts and cashews. In the mixture, the amount of peanuts is three times the amount of cashews and he amount of walnuts is four times the amount of cashews. Let x represent the amount of cashews. Write and simplify an expression for the total amount of nuts in the mixture.

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Answer:

Think of it like this :  

Total amount of nuts = no. of cashews + no. of peanuts + no. of walnuts  

1 cashew = x  

3 peanuts for every cashew, 3x is amount of peanuts  

4 walnuts for every cashew, 4x is amount of walnuts  

Therefore, total amount of nuts = x (no. of cashews) + 3x (no. of peanuts) + 4x (no. of walnuts  

This simplifies to : total number of nuts = 8x

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