Question

1. mike weighs 200 pounds and plans to lose 1.5 pounds a week. jeff weighs 180 pounds and plans to lose 0.5 pounds a week. when will mike and jeff weigh the same?

equation:
answer:

Explanation:

Step1: Define variable

Let \( x \) be the number of weeks.

Step2: Write weight equations

Mike's weight after \( x \) weeks: \( 200 - 1.5x \)
Jeff's weight after \( x \) weeks: \( 180 - 0.5x \)

Step3: Set equal for same weight

Equation: \( 200 - 1.5x = 180 - 0.5x \)

Step4: Solve for \( x \)

Add \( 1.5x \) to both sides: \( 200 = 180 + x \)
Subtract 180: \( x = 20 \)

Answer:

Equation: \( 200 - 1.5x = 180 - 0.5x \)