<PRE><B>Question 425916</B>
has 100 kg of mixed nuts that sell for $4.00/kg.


let x = amount that sell for $3.20/kg.


100*4 + x*3.20 = (100+x)*3.40


simplify to get:
400 + 3.2*x = 3.4*x + 340
subtract 340 from both sides of the equation to get:
60 + 3.2*x = 3.4*x
subtract 3.2*x from both sides of the equation to get:
60 = .2*x
divide both sides of the equation by .2 to get:
x = 300


she would need to add 300 kg of nuts at $3.20/kg.


if she did this, the total cost would be 100 * $4.00 + 300 * $3.20 = $400.00 + $960 = $1360 and the total cost/kg would be equal to $1360 / 400 = $3.40/kg


the total kg of her new mixture is 100 + 300 = 400


the total price of her new mixture is 100*4 + 300*3.2 = 1360


the cost per kg of her new mixture is 1360/400 = 3.4


your answer should be 300 kg.





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