SOLUTION: How many pounds of nuts selling for ​$12 per lb and raisins selling for ​$6 per lb should a person combine to obtain 120 lb of a trail mix selling for ​$8 per&#82

Algebra ->  Customizable Word Problem Solvers  -> Mixtures -> SOLUTION: How many pounds of nuts selling for ​$12 per lb and raisins selling for ​$6 per lb should a person combine to obtain 120 lb of a trail mix selling for ​$8 per&#82      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 1038701: How many pounds of nuts selling for ​$12 per lb and raisins selling for ​$6 per lb should a person combine to obtain 120 lb of a trail mix selling for ​$8 per​ lb?
The person would need (__) lb of nuts selling for $12 and (___) lb of raisins selling for $6.

Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
n nuts and r raisins;
n%2Br=120
n=120-r
-
Or you can simply use r for how much raisins, and then 120-r is how much nuts. This then is using only a single variable, r.
-
Cost must be 120%2A8 dollars.

12n%2B6r=120%2A8
12%28120-r%29%2B6r=120%2A8
Quick simplification,
2%28120-r%29%2Br=20%2A8
240-2r%2Br=20%2A8
240-r=20%2A8
r=240-160
highlight%28r=80%29
-
highlight%28n=40%29

The method using another example is also shown here:
just one variable for two-part mixture video example