SOLUTION: A nut mixture contains 10% cashews. How many kilograms of the mixture and how many kilograms of the cashews should be mixed to give 6 kg of a nut mixture which is 25% cashews?

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Question 342206: A nut mixture contains 10% cashews. How many kilograms of the mixture and how many kilograms of the cashews should be mixed to give 6 kg of a nut mixture which is 25% cashews?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Let A be the amount of the 10% cashew mixture, B the amount of the 100% cashew mixture.
1.A%2BB=6
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10A%2B100B=25%286%29
10A%2B100B=150
2.A%2B10B=15
Subtract eq. 1 from eq. 2,
A%2B10B-A-B=15-6
9B=9
highlight%28B=1%29
Then from eq. 1,
A%2B1=6
highlight%28A=5%29
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You need 5 kg of the 10% mixture and 1 kg of 100% mixture.