Question

Lenny makes $55,000 per year and gets annual raises of $2,500. Kenny makes $62,000 per year and gets annual raises of $2,000. How many years, y, will it take for Lenny and Kenny to make the same annual salary?

Answer 1

Lenny and Kenny will make the same annual salary after 14 years.

Step-by-step explanation:

To find out how many years it will take for Lenny and Kenny to make the same annual salary, we can set up an equation where both of their salaries are equal after a certain number of years, and solve for y, the number of years.

Lenny starts with a salary of $55,000 and gets an annual increase of $2,500. Kenny starts with a higher salary of $62,000 but his annual raise is $500 less, $2,000.

The equation reflecting their salaries after y years would be:

55,000 + 2,500y = 62,000 + 2,000y

Solving for y involves subtracting 2,000y from both sides and also 55,000 from both sides, giving:

2,500y - 2,000y = 62,000 - 55,000

500y = 7,000

Now divide both sides by 500:

y = 7,000 / 500

y = 14

Lenny and Kenny will make the same annual salary after 14 years.