SOLUTION: a grocer mixes together some cashews costing $8 per kilogram with some Brazil nuts costing $10 per kilogram. The grocer sold 12 kg of the mixture for $8.50 per kilogram. how many k

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: a grocer mixes together some cashews costing $8 per kilogram with some Brazil nuts costing $10 per kilogram. The grocer sold 12 kg of the mixture for $8.50 per kilogram. how many k      Log On


   

Question 174702: a grocer mixes together some cashews costing $8 per kilogram with some Brazil nuts costing $10 per kilogram. The grocer sold 12 kg of the mixture for $8.50 per kilogram. how many kilograms of cashsews were in the mixture the grocer sold?
Answer by Mathtut(3670) About Me  (Show Source):
You can put this solution on YOUR website!
let the amount of cashews and brazil nuts be ,c and b, respectively
:
8c+10b=8.5(10)..eq 1
c+b=10..........eq 2
:
rewrite eq 2 to c=10-b....and plug this value into eq 1
:
8(10-b)+10b=85
:
80-8b+10b=85
:
2b=5
:
highlight%28b=2.5%29kg's of brazil nuts
:
c=10-b=10-2.5=highlight%287.5%29kg's of cashews