SOLUTION: Michelle is making goodie bags for Christmas filled with chocolates and candy. Chocolates cost $3.00 per lb. Candy cost $2.00 per lb. Michelle bought a total of 15 pounds of candy

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Michelle is making goodie bags for Christmas filled with chocolates and candy. Chocolates cost $3.00 per lb. Candy cost $2.00 per lb. Michelle bought a total of 15 pounds of candy       Log On


   

Question 749577: Michelle is making goodie bags for Christmas filled with chocolates and candy. Chocolates cost $3.00 per lb. Candy cost $2.00 per lb. Michelle bought a total of 15 pounds of candy and chocolate and spent $40. How many pounds did she buy of each?
Found 2 solutions by richwmiller, Edwin McCravy:
Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
x+y=15
3x+z*y=40
We have three unknowns and only two equations.
An integer solution is
x = 10, y = 5, z = 2

Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!
Michelle is making goodie bags for Christmas filled with chocolates and candy. Chocolates cost $3.00 per lb. Candy cost $2.00 per lb. Michelle bought a total of 15 pounds of candy and chocolate and spent $40. How many pounds did she buy of each?
She bought x pounds of chocolates at $3 a pound, so those x pounds of chocolates cost her $3x dollars.

She bought 15-x pounds of chocolates at $2 a pound, so those 15-x pounds of chocolates cost her $2(15-x) dollars.

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           3x + 2(15 - x) = 40
             3x + 30 - 2x = 40
                   x + 30 = 40
                        x = 10 

Edwin