SOLUTION: 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. Ho

Algebra ->  Customizable Word Problem Solvers  -> Mixtures -> SOLUTION: 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. Ho      Log On

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Question 1154854: 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?
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!

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) & (2)
4.5x =18
x=4 kg
y= 8 kg