SOLUTION: This is a homework problem I can't figure out: A party mix is made by adding nuts that sell for $2.50 per kg to a cereal mixture that sells for $1.00 per kg. How much of each shoul

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Question 347686: This is a homework problem I can't figure out: A party mix is made by adding nuts that sell for $2.50 per kg to a cereal mixture that sells for $1.00 per kg. How much of each should be added to get 30 kg of a mix that will sell for $1.70 per kg?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Let A be the amount of $2.50/kg nuts.
Let B be the amount of $1.00/kg cereal.
.
.
.
Total weight equation:
1.A%2BB=30
Concentration/Price equation:
2.5A%2B1B=1.7%2830%29
2.2.5A%2BB=51
Subtract eq. 1 from eq. 2,
2.5A%2BB-A-B=51-30
1.5A=21
highlight%28A=14%29kg
Now that you have A use either equation to solve for B.