Question

Inventory Heung-Soo is responsible for checking a shipment of technology equipment that contains laser printers that cost $700 each and color monitors that cost $200 each. He counts 30 boxes on the loading dock. The invoice states that the order totals $15,000. Write a system of two equations that represents the situation outlined above. How many laser printers and how many color monitors were delivered?​

Answer 1

P + M = 30

700P + 200M = 15000

Number of laser printers = 18

Number of color monitors = 12

Explanation:

Let P = number of laser printers

Let M = number of color monitors

Given total number of boxes = 30

⇒ P + M = 30

Given:

• $700 = cost of laser printer
• $200 = cost of color monitor
• $15000 = total cost of order

⇒ 700P + 200M = 15000

Rewrite P + M = 30 to make P the subject:

⇒ P = 30 - M

Substitute into 700P + 200M = 15000 and solve for M:

⇒ 700(30 - M) + 200M = 15000

⇒ 21000 - 700M + 200M = 15000

⇒ 500M = 6000

⇒ M = 12

Substitute found value for M into P = 30 - M and solve for P:

⇒ P = 30 - 12 = 18