Question

Bert is losing weight at a rate of 2 pounds per week. After 6 weeks, his weight is 204 pounds. Write and solve a linear equation to find how many weeks it will take Bert to reach his target weight of 180 pounds.

Answer 1

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.