<PRE><B>Question 1154855</B>

a grocer buys cashews for $9 per kg and peanuts for $4.50 per kg. She wants to sell nuts individually, and she also makes 12 kg of a peanut-cashew mix which costs him $6 per kg. How many kg of nut does the grocer require to make the mix? 


let cashews bought be x kg
and  nuts bought be y kg

x+y=12...……………….1
9x+4.5y = 6(x+y)

9x +4.5y = 6x +6y

3x-1.5y =0
multiply (1)  by 1.5

1.5x+1.5y=18..... (2)

Add (1) &amp; (2)
4.5x =18
x=4 kg
y= 8 kg

 







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