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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 6, 12, and 24 blades, costing $2, $3, and $4
per package, respectively. A store sold 11 packages containing a total of 132 razor blades and took in
$30. How many packages of each type were sold?
Write a system of linear equations using the given information. Choose correct answer below.
A.
$\begin{cases} 6x + 12y + 24z = 30\\ 2x + 3y + 4z = 11\\ x + y + z = 132 \end{cases}$
C.
$\begin{cases} 6x + 12y + 24z = 11\\ 2x + 3y + 4z = 132 \end{cases}$
B.
$\begin{cases} 6x + 12y + 24z = 30\\ 2x + 3y + 4z = 132\\ x + y + z = 11 \end{cases}$
D.
$\begin{cases} 6x + 12y + 24z = 132\\ 2x + 3y + 4z = 30 \end{cases}$
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May 6
8:42