Question

Jerry has a new job and earns a salary of $45,000. Victoria has a new job and earns a salary of $54,000. Jerry will receive a salary increase of $2,500 per year, and Victoria will receive a salary increase of $1,500 per year.

Which equation can be used to find x, the number of years it will take Jerry to earn the same salary as Victoria?

A
218x10

B
205x10

C
205x10

D
211x10

Answer 1

45000 + 2500x = 54000 + 1500x

Explanation:

Jerry has a new job and earns a salary of $45,000 and she will receive a salary increment of $2500 per year.

Now, Victoria has a new job and earns a salary of $54,000 and she will receive a salary increment of $1500 per year.

If after x years their salary becomes the same, then

45000 + 2500x = 54000 + 1500x

⇒ 1000x = 9000

⇒ x = 9 years. (Answer)