SOLUTION: A certain brand of razor blades comes in packages of 6,12,and 24 blades, costing $2,$3,$4 per package, respectively. A store sold 12 packages containing a total of 162 razor blades

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Question 188680This question is from textbook Algebra&Trigonometry
: A certain brand of razor blades comes in packages of 6,12,and 24 blades, costing $2,$3,$4 per package, respectively. A store sold 12 packages containing a total of 162 razor blades and took in $35. How many packages of each type were sold?
This is a three by three system equations, I think I can write two of the equations but I do not know how to write the third to solve the equation.
x+y+z=162
2x+3y+4z=35
I need the other equation then I can solve it myself.
This question is from textbook Algebra&Trigonometry

Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
A certain brand of razor blades comes in packages of 6,12,and 24 blades, costing $2,$3,$4 per package, respectively. A store sold 12 packages containing a total of 162 razor blades and took in $35. How many packages of each type were sold?
This is a three by three system equations, I think I can write two of the equations but I do not know how to write the third to solve the equation.
x+y+z=162
2x+3y+4z=35
I need the other equation then I can solve it myself.
-----------------
There are 12 packages.
x + y + z = 12
6x + 12y + 24z = 162
2x + 3y + 4z = 35

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