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Use a system of linear equations in three variables to solve the following problem. A certain brand of razor blade comes in packages of

 

Use a system of linear equations in three variables to solve the following problem. A certain brand of razor blade comes in packages of 6, 12, and 24 blades, costing $2, $3, and $4 per package, respectively. A store sold 17 packages containing a total of 234 razor blades and took in $50. How many packages of each type were sold? Write a system of linear equations using the given information. Choose correct answer below. O B. O A. O C. 6x+12y +24z = 50 2x + 3y + 4z = 234 x+y+z=17 S 6x +12y +24z = 17 2x + 3y + 4z = 234 x+y+z=50 S There were packages of 6 blades, O D. 6x+12y +24z=234 2x + 3y + 4z = 50 x+y+z=17 6x+12y +24z = 50 2x+3y + 4z = 17 x+y+z=234 packages of 12 blades, and packages of 24 blades sold.

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