Final answer:
Bert will take 12 weeks to reach his target weight of 180 pounds.
Step-by-step explanation:
To find the number of weeks it will take Bert to reach his target weight of 180 pounds, we can use a linear equation. Let's represent the number of weeks as 'w'. Since Bert is losing weight at a rate of 2 pounds per week, we can write the equation as: 204 - 2w = 180. Now, we can solve for 'w' by isolating the variable on one side and simplifying the equation.
204 - 2w = 180
Subtracting 204 from both sides, we get:
-2w = -24
Dividing both sides by -2, we have:
w = 12
Therefore, it will take Bert 12 weeks to reach his target weight of 180 pounds.