SOLUTION: Nuts to You Shoppe sells cashews for $15 per kg and pecans for $10 per kg. How many kilograms of each should be mixed in order to get 20kg of a mixture worth $12 per kg?

Question 442806: Nuts to You Shoppe sells cashews for $15 per kg and pecans for $10 per kg. How many kilograms of each should be mixed in order to get 20kg of a mixture worth $12 per kg?
Answer by kittycat1613(12) (Show Source): You can put this solution on YOUR website!
Let x= kg of cashews
20-x= kg of pecans
15x+10(20-x)=20(12)
15x+200-10x=240
5x+200=240
-200 -200
5x=40
x=8
20-x=12
Check
8(15)+12(10)
120+120=240
$240 is the total amount paid for 20 kg, so $12 is the amount per kg, which is stated in the question
Answer: 8 kg of cashews and 12 kg of pecans
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