Question

Jaylon makes $57,000 and is getting annual raises of $2,500. Anita makes $64,000 and is getting annual raises of $1,500. How many years, y, will it take for Jaylon and Anita to make the same amount of money?

Answer 1

Answer: It will take 7 years for Jaylon and Anita to make the same amount of money.

Explanation:

Let y be the number of years.

Given: Jaylon makes $57,000 and is getting annual raises of $2,500.

Total money Jaylon will make in y years = 57000+2500y

Anita makes $64,000 and is getting annual raises of $1,500.

Total money Jaylon will make in y years = 64000+1500y

When both make same amount,

`57000+2500y=  64000+1500y\\\\\Rightarrow 2500-1500y=64000-57000\\\\\Rightarrow\ 1000y=7000\\\\\Rightarrow\ y=7`

hence, it will take 7 years for Jaylon and Anita to make the same amount of money