A certain bran of razor blades comes in packages of 6, 12, and 24 blades....

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A certain bran 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 razor blades and took in $35. How many packages of each type were sold?

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