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

Answer 1

8b = 40 - 4p

42b + 52p = 350

Explanation:

I took the test and seen it bc the other answer was mad wrong :)

Answer 2

b = 40 - p

42b + 52p = 350

Explanation:

Given : No. of small blue pom-pom boxes = b

No. of large orange pom-poms = p

cost of 1 box of blue pom pom = $42

cost of one large orange pom-pom box = $52

Solution:

Since we are given that the company has only 40 boxes

⇒b+p=40

⇒b=40-p

Since cost of 1 box of blue pom pom = $42

So, cost of b box of blue pom pom = $42b

Since,cost of one large orange pom-pom box = $52

So,cost of p large orange pom-pom box = $52p

We are also given that the company plan to make $350

⇒42b+52p=350

Hence Option b is correct

b = 40 - p

42b + 52p = 350