Question

A radio station advertises a contest with ten cash prizes totaling $5510. There is to be a $100 difference between each successive prize. Find the amounts of the least and greatest prizes the radio station will award.

Answer 1

5510 = x + (x + 100) + (x + 200) + (x + 300) + (x + 400) + (x + 500) + (x + 600) + (x +700) + (x + 800) + (x + 900) = 10x + 4500

=> 10x = 5510 - 4500 = 1010

=> x = 1010 / 10 = 101

=> least prize = 101 and greatest prize = 101+ 900 = 1001.<----- answer