Question

Every year a man is paid $500 more than the previous year. If he receives $17,800 over four years, what was he paid in the first year?

Answer 1

15,800 because 500x the 4 years=2,000,17,800-2,000=15,800.so the answer is 15,800.

Answer 2

Let x+500 represent the first year

For the $500 more than the previous year for 4 years, we would write:
(x+500)+(x+500+500+500)+(x+500+500+500+500)= 17,800

By adding the equation above, 4x+5000=17,800

4x=17,800-5000
4x=12,800
x=3,200

So the amount the man was paid in the first year is 3,200+500=3,700