25,000 + 3500y = 37000 + 1500y

Answer 1

If two people start jobs at same time , A. Starts at 25000 per year with 3500 raise per year and B. Starts at 37,000 with 1500 raise per year, how many years til they are earning the same? 8th grade math class question.

25,000 + 3500y = 37000 + 1500y

We want to get y by itself.

First we are going to move the 25000 to the other side by subtracting it from both sides

3500y = 37000 + 1500 y - 25000

Then we will move the 1500 y to the other side so both y terms are on the same side.

3500y - 1500y = 37000 - 25000

Now we will combine like terms

3500y - 1500y = 2000y

37000 - 25000 = 12000

So now we have

2000 y = 12000

To get y by itself we will divide by 2000 on both sides

2000 y / 2000 = 12000/2000

so y = 6

Therefore, in 6 years they will be earning the same amount