Question

A company sells boxes of small blue pom-poms (b) for $42 and boxes of large orange pom-poms (p) for $52. They make batches of small blue pom-poms that fill 8 boxes and batches of large orange pom-poms that fill 4 boxes. The company only has 40 boxes. Which system of equations helps the company plan to make $350?

Answer 1

We know that the blue boxes cost $42 and that the orange boxes cost $52; we also want to make $350 then we have the equation:

$42b+52p=350$

We also know that we make the blue boxes with 8 pom-poms and the orange boxes with 4 pom-poms and that we only have 40 boxes, then we have the equation:

$8b+4p=40$

Hence we have the system of equations:

$\begin{gathered} 42b+52p=350 \\ 8b+4p=40 \end{gathered}$

Comparing it with the options given we conclude that the correct option is the last one.