Question

the cost for three packages of moving boxes is modeled by the system of equations below. let s represents the cost of each small box, m represents the cost of each medium box, and l represents the cost of each large box. which order triple (s, m, l) represents the cost of the three boxes

Answer 1

C

Explanation:

answer is

1.50, 2.00, 2.75

Answer 2

(1.50, 2.00, 2.75)

Explanation:

Given the following system of equations:

`7s+4m+2l=24\\5s+3m+6l=30\\3s+7m+10l=46`

The values for s,m and l are given by solving the following matrix:

`\left[\begin{array}{cccc}7&4&2&|\ 24\\5&3&6&|\ 30\\3&7&10&|\ 46\end{array}\right] \\\\\left[\begin{array}{cccc}1&(4)/(7) &(2)/(7)&|\ (24)/(7) \\0&1&32&|\ 90\\0 &(37)/(7) &(64)/(7)&|\ (250)/(7) \end{array}\right] \\\\\left[\begin{array}{cccc}1&(4)/(7) &(2)/(7)&|\ (24)/(7) \\0&1&32&|\ 90\\0 &0 &1&|\ (11)/(4) \end{array}\right] \\\\\left[\begin{array}{cccc}1&0 &0&|\ (3)/(2) \\0&1&0&|\ 2\\0 &0 &1&|\ (11)/(4) \end{array}\right] \\`

Writing in decimal form:

`s= (3)/(2)=1.50 \\m= 2.00\\l = (11)/(4)=2.75`

Therefore, (s, m, l) = (1.50, 2.00, 2.75)