Question

1. lenny makes $55,000 and is getting annual raises of $2,500. karl makes $62,000 with annual raises of $2,000. how long will it take for lenny and karl to make the same salary? let x=

Explanation:

Step1: Define variables and salary equations

Let \( x \) be the number of years. Lenny's salary after \( x \) years: \( 55000 + 2500x \). Karl's salary after \( x \) years: \( 62000 + 2000x \).

Step2: Set salaries equal and solve

Set \( 55000 + 2500x = 62000 + 2000x \). Subtract \( 2000x \) and \( 55000 \) from both sides: \( 500x = 7000 \). Divide by 500: \( x = 14 \).

Answer:

14 years