SOLUTION: A store is having a sale on walnuts and chocolate chips. For 3pounds of walnuts and 5 pounds of chocolate chips, the total cost is $16. For 6 pounds of walnuts and 2pounds of choco

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: A store is having a sale on walnuts and chocolate chips. For 3pounds of walnuts and 5 pounds of chocolate chips, the total cost is $16. For 6 pounds of walnuts and 2pounds of choco      Log On


   



Question 916645: A store is having a sale on walnuts and chocolate chips. For 3pounds of walnuts and 5 pounds of chocolate chips, the total cost is $16. For 6 pounds of walnuts and 2pounds of chocolate chips, the total cost is $22
. Find the cost for each pound of walnuts and each pound of chocolate chips.

Answer by lwsshak3(11628) About Me  (Show Source):
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A store is having a sale on walnuts and chocolate chips. For 3pounds of walnuts and 5 pounds of chocolate chips, the total cost is $16. For 6 pounds of walnuts and 2pounds of chocolate chips, the total cost is $22
. Find the cost for each pound of walnuts and each pound of chocolate chips.
***
let x=cost/lb of walnuts
let y=cost/lb of chocolate chips
..
3x+5y=16
6x+2y=22
..
6x+10y=32 (mult. eq by 2)
6x+2y=22
subtract:
8y=10
y=10/8=1.25
x=16-5y=9.75
cost/lb of walnuts=$1.25
cost/lb of chocolate chips=$9.75