Question

2 the total weight of a delivery truck is equal to the weight of the empty truck plus the weight of the packages. the truck weighs 8,300 lb when empty. write an equation that shows how to use the total weight of the truck to find the weight of the packages. show your work.

Explanation:

Step1: Define variables

Let \( T \) be the total weight of the truck (in lb), \( E \) be the weight of the empty truck (in lb), and \( P \) be the weight of the packages (in lb). We know \( E = 8300 \) lb.

Step2: Set up the relationship

The total weight of the truck is the sum of the empty truck's weight and the packages' weight, so \( T = E + P \).

Step3: Solve for \( P \)

To find the weight of the packages, we rearrange the equation. Subtract \( E \) from both sides: \( P = T - E \). Substituting \( E = 8300 \), we get \( P = T - 8300 \).

Answer:

The equation to find the weight of the packages is \( P = T - 8300 \), where \( T \) is the total weight of the truck (in lb) and \( P \) is the weight of the packages (in lb).