A container at China was sold for K1500 and an additional K1000 for shipment to PNG. Each container for sold for K3500.

Use the information above to find the equation

1 answer

To find the equation based on the information provided, we can identify the relevant variables and formulate the equation step by step.

Let:

  • \( C \) be the cost of the container when sold in China.
  • \( S \) be the cost of shipping to PNG.
  • \( T \) be the total selling price of a container in PNG.

From the information:

  • The cost of the container in China is K1500.
  • The cost of shipping to PNG is K1000.
  • The total selling price of the container in PNG is K3500.

We can express the total cost \( T \) of the container in PNG as the sum of the cost of the container and the shipping cost:

\[ T = C + S \]

Substituting the values for \( C \) and \( S \):

\[ T = K1500 + K1000 \]

Calculating this gives:

\[ T = K2500 \]

However, the selling price in PNG is given as K3500. Thus, if \( P \) is the profit earned on each sale, we can write:

\[ P = T - (C + S) \] \[ K3500 = K1500 + K1000 + P \]

To find the profit:

\[ P = K3500 - K2500 = K1000 \]

In summary, the relationships can be expressed as:

  1. Cost equation: \[ T = C + S \]

  2. Revenue equation: \[ K3500 = K1500 + K1000 + P \]

Therefore, you could summarize the key relation as

\[ K3500 = K1500 + K1000 + P \]

In this case, you also have a profit equation based on your sale and costs. You can further express it as:

\[ K3500 = K2500 + P \]

or

\[ P = K3500 - K2500 \]

Using these equations, you can analyze the costs, revenue, and profits related to the sale of the container.