A radio station advertises a contest with ten cash prizes totaling $5510. There is to be a $100 difference between each successi

Question

Natasha2012 [34]

3 years ago

13

A radio station advertises a contest with ten cash prizes totaling $5510. There is to be a $100 difference between each successi

ve prize. Find the amounts of the least and greatest prizes the radio station will award.

Mathematics

1 answer:

gavmur [86] · Answer 1 · 2022-08-10T19:37:45+03:00

gavmur [86]3 years ago

4 0

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