In Exercises 33-41, use the four-step strategy to solve each problem. Use x, y, and z to represent unknown quantities. Then translate from the verbal conditions of the problem to a system of three equations in three variables.
A certain brand of razor blades comes in packages of 6,12, and 24 blades, costing $2,$3. and $4 per package, respectively. A store sold 12 packages containing a total of 162 razorblades and took in $35. How many packages of each type were sold?
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