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?
a)b = 40 - p
8b + 4p = 40

b)b = 40 - p
42b + 52p = 350

c)8b = 40 - 4p
42b - 52p = 350

d)8b = 40 - 4p
42b + 52p = 350

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?
a)b = 40 - p
8b + 4p = 40
 
b)b = 40 - p
42b + 52p = 350
 
c)8b = 40 - 4p
42b - 52p = 350
 
d)8b = 40 - 4p
42b + 52p = 350