SOLUTION: the owner of candy store mixed some peanuts worth $3per pound some cashews worth $9 per pound and some brazil nuts worth $9 per pound to get 50 pounds of a mixture that would sell

Question 322510: the owner of candy store mixed some peanuts worth $3per pound some cashews worth $9 per pound and some brazil nuts worth $9 per pound to get 50 pounds of a mixture that would sell for $6 per pounds she used 15 fewer pounds of cashews than peanuts how many pounds of each did she use?
Answer by QH(50) (Show Source): You can put this solution on YOUR website!
First assign variables for each nut. Since it is only asking for the pounds of each, the costs are irrelevant.
Peanuts= x
Cashews= x-15
Brazil Nuts= 50-(x+x-15) or 2x-35
Add all of the "nuts" together to equal 50lbs
(x)+(x-15)+(2x-35)=50
4x-50=50
4x=100
x=100/4
(peanuts) x=25 lbs
(cashews) x-15=10 lbs
Brazils) 2x-35=15 lbs
check: 20+10+15=50
50=50
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